%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC404-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:41:06 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 62 ( 26 unt; 8 def)
% Number of atoms : 139 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 146 ( 69 ~; 69 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,axiom,
! [U,V,W] :
( memberP(app(U,W),V)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,axiom,
! [U,V,W] :
( memberP(app(W,U),V)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(U)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
memberP(sk1,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f287,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f356,plain,
! [X0,X1,X2] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f357,plain,
! [X0,X1,X2] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f434,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f436,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f437,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f438,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f439,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f440,plain,
app(app(sk5,sk3),sk6) = sk4,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f446,plain,
ssItem(sk7),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f447,plain,
memberP(sk1,sk7),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f448,plain,
~ memberP(sk2,sk7),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f497,plain,
memberP(sk3,sk7),
inference(forward_demodulation,[status(thm)],[f437,f447]) ).
fof(f498,plain,
~ memberP(sk4,sk7),
inference(forward_demodulation,[status(thm)],[f436,f448]) ).
fof(f515,definition,
( sQ4_spl
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ4_spl
| ~ ssList(sk6) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ5_spl
<=> ssList(app(sk5,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( sQ5_spl
| ~ ssList(app(sk5,sk3)) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f548,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f439]) ).
fof(f549,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f638,plain,
( sQ5_spl
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f520,f287]) ).
fof(f639,definition,
( sQ22_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ22_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ23_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( sQ23_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ5_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f638,f639,f642,f518]) ).
fof(f646,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f434]) ).
fof(f647,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f646]) ).
fof(f648,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f438]) ).
fof(f649,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f732,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3))
| ~ ssList(sk6)
| ~ memberP(app(sk5,sk3),X0) ),
inference(paramodulation,[status(thm)],[f440,f356]) ).
fof(f737,definition,
! [X0] :
( sQ35_spl
<=> ( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f738,plain,
! [X0] :
( ~ sQ35_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f732,f737,f515,f518]) ).
fof(f747,plain,
! [X0] :
( ~ sQ35_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ memberP(sk3,X0) ),
inference(resolution,[status(thm)],[f357,f738]) ).
fof(f750,definition,
! [X0] :
( sQ37_spl
<=> ( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f751,plain,
! [X0] :
( ~ sQ37_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| ~ sQ22_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f747,f750,f639,f642,f737]) ).
fof(f759,plain,
! [X0] :
( ~ sQ37_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f751]) ).
fof(f760,plain,
( ~ sQ37_spl
| memberP(sk4,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[f759,f497]) ).
fof(f761,definition,
( sQ39_spl
<=> ssItem(sk7) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( sQ39_spl
| ~ ssItem(sk7) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
( sQ40_spl
<=> memberP(sk4,sk7) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ40_spl
| memberP(sk4,sk7) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( ~ sQ37_spl
| sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f760,f761,f764,f750]) ).
fof(f768,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f446]) ).
fof(f769,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f498]) ).
fof(f771,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f772,plain,
$false,
inference(sat_refutation,[status(thm)],[f549,f645,f647,f649,f740,f753,f767,f769,f771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC404-1 : 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 : n009.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 08:22:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.45 % Elapsed time: 0.068426 seconds
% 0.09/0.45 % CPU time: 0.196632 seconds
% 0.09/0.45 % Total memory used: 109.916 MB
% 0.09/0.45 % Net memory used: 109.722 MB
%------------------------------------------------------------------------------