%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:39:56 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.69s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 18 unt; 4 def)
% Number of atoms : 94 ( 34 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 112 ( 61 ~; 47 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
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,
sk4 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A,B,C] :
( app(A,C) != sk2
| app(app(A,B),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f267,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f424,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f428,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f429,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f430,plain,
sk4 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f431,plain,
! [A,C] :
( app(A,C) != sk2
| ! [B] :
( app(app(A,B),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f193]) ).
fof(f432,plain,
! [X0,X1,X2] :
( app(X0,X2) != sk2
| app(app(X0,X1),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f431]) ).
fof(f471,plain,
sk2 = sk3,
inference(forward_demodulation,[status(thm)],[f428,f430]) ).
fof(f474,plain,
sk2 = sk1,
inference(forward_demodulation,[status(thm)],[f429,f471]) ).
fof(f525,plain,
! [X0,X1,X2] :
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f474,f432]) ).
fof(f688,definition,
( sQ11_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( sQ11_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f740,definition,
( sQ12_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( sQ12_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f1768,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[f267,f201]) ).
fof(f1857,definition,
! [X0] :
( sQ21_spl
<=> ( app(nil,X0) != nil
| app(nil,X0) != nil
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ21_spl
| app(nil,X0) != nil
| app(nil,X0) != nil
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1857]) ).
fof(f1862,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f201]) ).
fof(f1863,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ21_spl
| app(nil,X0) != nil
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1858]) ).
fof(f1880,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[f424,f267]) ).
fof(f1938,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f424]) ).
fof(f1939,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1938]) ).
fof(f2048,plain,
( ~ sQ21_spl
| app(nil,nil) != nil ),
inference(resolution,[status(thm)],[f1879,f201]) ).
fof(f2050,plain,
( ~ sQ21_spl
| nil != nil ),
inference(forward_demodulation,[status(thm)],[f1768,f2048]) ).
fof(f2051,plain,
( ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2050]) ).
fof(f2052,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2054,plain,
! [X0] :
( app(sk1,X0) != sk1
| app(sk1,X0) != sk1
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk1) ),
inference(paramodulation,[status(thm)],[f1880,f525]) ).
fof(f2057,definition,
! [X0] :
( sQ32_spl
<=> ( app(sk1,X0) != sk1
| app(sk1,X0) != sk1
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ32_spl
| app(sk1,X0) != sk1
| app(sk1,X0) != sk1
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2057]) ).
fof(f2060,plain,
( sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2054,f740,f688,f2057]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ32_spl
| app(sk1,X0) != sk1
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2058]) ).
fof(f2071,plain,
( ~ sQ32_spl
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2069,f1880]) ).
fof(f2073,plain,
( ~ sQ32_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2071,f688,f2057]) ).
fof(f2075,plain,
$false,
inference(sat_refutation,[status(thm)],[f1863,f1939,f2052,f2060,f2073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n008.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 07:56:08 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.27/0.69 % Refutation found
% 0.27/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.72 % Elapsed time: 0.265235 seconds
% 0.27/0.72 % CPU time: 1.818381 seconds
% 0.27/0.72 % Total memory used: 132.541 MB
% 0.27/0.72 % Net memory used: 130.485 MB
%------------------------------------------------------------------------------