%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC402-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:41:06 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.73s
% Output : CNFRefutation 0.21s
% 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(f639,plain,
( sQ5_spl
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f520,f287]) ).
fof(f640,definition,
( sQ22_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( sQ22_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ23_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ23_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( sQ5_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f639,f640,f643,f518]) ).
fof(f647,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f434]) ).
fof(f648,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f647]) ).
fof(f649,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f645,f438]) ).
fof(f650,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f649]) ).
fof(f747,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(f752,definition,
! [X0] :
( sQ37_spl
<=> ( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f753,plain,
! [X0] :
( ~ sQ37_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f747,f752,f515,f518]) ).
fof(f762,plain,
! [X0] :
( ~ sQ37_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ memberP(sk3,X0) ),
inference(resolution,[status(thm)],[f357,f753]) ).
fof(f765,definition,
! [X0] :
( sQ39_spl
<=> ( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f766,plain,
! [X0] :
( ~ sQ39_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( ~ sQ37_spl
| ~ sQ23_spl
| ~ sQ22_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f762,f765,f640,f643,f752]) ).
fof(f774,plain,
! [X0] :
( ~ sQ39_spl
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f766]) ).
fof(f775,plain,
( ~ sQ39_spl
| memberP(sk4,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[f774,f497]) ).
fof(f776,definition,
( sQ41_spl
<=> ssItem(sk7) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( sQ41_spl
| ~ ssItem(sk7) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ42_spl
<=> memberP(sk4,sk7) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ42_spl
| memberP(sk4,sk7) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ39_spl
| sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f775,f776,f779,f765]) ).
fof(f783,plain,
( sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f446]) ).
fof(f784,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f785,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f498]) ).
fof(f786,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f787,plain,
$false,
inference(sat_refutation,[status(thm)],[f549,f646,f648,f650,f755,f768,f782,f784,f786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC402-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.69 % Computer : n017.cluster.edu
% 0.17/0.69 % Model : x86_64 x86_64
% 0.17/0.69 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.69 % Memory : 8046.5625MB
% 0.17/0.69 % OS : Linux 6.8.0-71-generic
% 0.17/0.69 % CPULimit : 300
% 0.17/0.69 % WCLimit : 300
% 0.17/0.69 % DateTime : Mon Sep 21 08:17:29 UTC 2026
% 0.17/0.69 % CPUTime :
% 0.21/0.71 % Drodi V4.1.1
% 0.21/0.73 % Refutation found
% 0.21/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.80 % Elapsed time: 0.098646 seconds
% 0.21/0.80 % CPU time: 0.124961 seconds
% 0.21/0.80 % Total memory used: 21.166 MB
% 0.21/0.80 % Net memory used: 21.132 MB
%------------------------------------------------------------------------------