%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:39:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.60s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 20 unt; 5 def)
% Number of atoms : 100 ( 22 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 96 ( 47 ~; 44 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [U] : ssItem(skaf83(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [U] : ssList(skaf82(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [U] :
( nil = U
| cons(skaf83(U),skaf82(U)) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [U,V,W] :
( memberP(cons(V,W),U)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| 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,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
! [A] :
( memberP(sk4,A)
| ~ memberP(sk3,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f209,plain,
! [X0] : ssItem(skaf83(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f210,plain,
! [X0] : ssList(skaf82(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f268,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f309,plain,
! [X0] :
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f350,plain,
! [X0,X1,X2] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f430,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f432,plain,
nil = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
nil != sk1,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
! [X0] :
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f459,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f350]) ).
fof(f460,plain,
! [X0,X1] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f459]) ).
fof(f478,plain,
nil = sk4,
inference(forward_demodulation,[status(thm)],[f432,f433]) ).
fof(f483,plain,
nil != sk3,
inference(forward_demodulation,[status(thm)],[f434,f435]) ).
fof(f537,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f478,f438]) ).
fof(f538,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f268]) ).
fof(f637,definition,
( sQ7_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ7_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f700,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f483]) ).
fof(f701,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f2333,plain,
( nil = sk3
| cons(skaf83(sk3),skaf82(sk3)) = sk3 ),
inference(resolution,[status(thm)],[f309,f430]) ).
fof(f2338,definition,
( sQ42_spl
<=> cons(skaf83(sk3),skaf82(sk3)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f2339,plain,
( ~ sQ42_spl
| cons(skaf83(sk3),skaf82(sk3)) = sk3 ),
inference(component_clause,[status(thm)],[f2338]) ).
fof(f2341,plain,
( sQ7_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2333,f2338,f637]) ).
fof(f4473,plain,
( ~ sQ42_spl
| memberP(sk3,skaf83(sk3))
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3)) ),
inference(paramodulation,[status(thm)],[f2339,f460]) ).
fof(f4482,definition,
( sQ188_spl
<=> ssList(skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f4484,plain,
( sQ188_spl
| ~ ssList(skaf82(sk3)) ),
inference(component_clause,[status(thm)],[f4482]) ).
fof(f4485,definition,
( sQ189_spl
<=> ssItem(skaf83(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f4487,plain,
( sQ189_spl
| ~ ssItem(skaf83(sk3)) ),
inference(component_clause,[status(thm)],[f4485]) ).
fof(f4505,definition,
( sQ194_spl
<=> memberP(sk3,skaf83(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f4506,plain,
( ~ sQ194_spl
| memberP(sk3,skaf83(sk3)) ),
inference(component_clause,[status(thm)],[f4505]) ).
fof(f4508,plain,
( ~ sQ42_spl
| sQ194_spl
| ~ sQ189_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f4473,f4482,f4485,f4505,f2338]) ).
fof(f4517,plain,
( sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4487,f209]) ).
fof(f4518,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f4517]) ).
fof(f4519,plain,
( sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4484,f210]) ).
fof(f4520,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f4519]) ).
fof(f4634,plain,
( ~ sQ194_spl
| ~ ssItem(skaf83(sk3)) ),
inference(resolution,[status(thm)],[f4506,f538]) ).
fof(f4638,plain,
( ~ sQ194_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f4634,f4485,f4505]) ).
fof(f4651,plain,
$false,
inference(sat_refutation,[status(thm)],[f701,f2341,f4508,f4518,f4520,f4638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n019.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 07:51:40 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.14/5.60 % Refutation found
% 0.14/5.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.63 % Elapsed time: 0.251316 seconds
% 0.14/5.63 % CPU time: 1.740794 seconds
% 0.14/5.63 % Total memory used: 142.299 MB
% 0.14/5.63 % Net memory used: 140.459 MB
%------------------------------------------------------------------------------