%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC092-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:39:55 PM UTC 2026
% Result : Unsatisfiable 151.39s 19.69s
% Output : CNFRefutation 75.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 99 ( 29 unt; 11 def)
% Number of atoms : 219 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 231 ( 111 ~; 109 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [U,V] :
( ssList(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f206,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f208,plain,
ssItem(skac2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f255,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f273,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f285,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ssList(X1)
| neq(X1,X0)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f319,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f320,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f404,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f405,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f431,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f432,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f433,plain,
sk4 = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f434,plain,
sk3 = sk1,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f436,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
sk4 = app(sk3,sk5),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f442,plain,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f450,definition,
( sQ2_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ3_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f442,f450,f453]) ).
fof(f461,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f320]) ).
fof(f462,plain,
! [X0] :
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f461]) ).
fof(f467,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f405]) ).
fof(f491,plain,
( ~ sQ2_spl
| neq(sk2,sk4) ),
inference(forward_demodulation,[status(thm)],[f451,f435]) ).
fof(f510,definition,
( sQ6_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( sQ6_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f522,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f431]) ).
fof(f523,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f528,plain,
( ~ sQ2_spl
| neq(sk4,sk4) ),
inference(backward_demodulation,[status(thm)],[f433,f491]) ).
fof(f544,plain,
( ~ sQ2_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f462,f528]) ).
fof(f545,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f432]) ).
fof(f546,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,definition,
( sQ9_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( sQ9_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f555,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk3,X0) ),
inference(forward_demodulation,[status(thm)],[f434,f436]) ).
fof(f556,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f433,f555]) ).
fof(f570,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f206]) ).
fof(f571,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f752,plain,
sk3 = app(nil,sk3),
inference(resolution,[status(thm)],[f273,f431]) ).
fof(f753,plain,
sk4 = app(nil,sk4),
inference(resolution,[status(thm)],[f273,f432]) ).
fof(f1702,definition,
( sQ77_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( sQ77_spl
| ~ segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f4760,plain,
! [X0] :
( ~ ssList(X0)
| ssList(cons(skac2,X0)) ),
inference(resolution,[status(thm)],[f285,f208]) ).
fof(f6032,plain,
( ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f556,f255]) ).
fof(f6033,definition,
( sQ419_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f6035,plain,
( sQ419_spl
| ~ neq(sk3,nil) ),
inference(component_clause,[status(thm)],[f6033]) ).
fof(f6036,plain,
( ~ sQ77_spl
| ~ sQ419_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6032,f510,f6033,f1702]) ).
fof(f6058,plain,
( sQ419_spl
| nil = sk3
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f6035,f301]) ).
fof(f6059,plain,
( sQ419_spl
| sQ3_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6058,f510,f547,f453,f6033]) ).
fof(f7307,plain,
ssList(cons(skac2,sk5)),
inference(resolution,[status(thm)],[f4760,f437]) ).
fof(f16355,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(app(app(X0,X1),sk5),X1)
| ~ ssList(app(app(X0,X1),sk5))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f467,f437]) ).
fof(f40433,definition,
( sQ1796_spl
<=> ssList(app(sk3,sk5)) ),
introduced(definition,[new_symbols(definition,[sQ1796_spl])],[split_symbol_definition]) ).
fof(f40435,plain,
( sQ1796_spl
| ~ ssList(app(sk3,sk5)) ),
inference(component_clause,[status(thm)],[f40433]) ).
fof(f40466,plain,
( sQ1796_spl
| ~ ssList(sk4) ),
inference(forward_demodulation,[status(thm)],[f438,f40435]) ).
fof(f40467,plain,
( sQ1796_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f40466,f432]) ).
fof(f40468,plain,
sQ1796_spl,
inference(contradiction_clause,[status(thm)],[f40467]) ).
fof(f40649,definition,
( sQ1824_spl
<=> ssList(cons(skac2,sk5)) ),
introduced(definition,[new_symbols(definition,[sQ1824_spl])],[split_symbol_definition]) ).
fof(f40651,plain,
( sQ1824_spl
| ~ ssList(cons(skac2,sk5)) ),
inference(component_clause,[status(thm)],[f40649]) ).
fof(f40656,plain,
( sQ1824_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f40651,f7307]) ).
fof(f40657,plain,
sQ1824_spl,
inference(contradiction_clause,[status(thm)],[f40656]) ).
fof(f44468,definition,
( sQ2144_spl
<=> ssList(app(nil,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ2144_spl])],[split_symbol_definition]) ).
fof(f44470,plain,
( sQ2144_spl
| ~ ssList(app(nil,sk3)) ),
inference(component_clause,[status(thm)],[f44468]) ).
fof(f44596,plain,
( sQ2144_spl
| ~ ssList(sk3) ),
inference(forward_demodulation,[status(thm)],[f752,f44470]) ).
fof(f44597,plain,
( sQ2144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f44596,f431]) ).
fof(f44598,plain,
sQ2144_spl,
inference(contradiction_clause,[status(thm)],[f44597]) ).
fof(f44806,definition,
( sQ2191_spl
<=> ssList(app(nil,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ2191_spl])],[split_symbol_definition]) ).
fof(f44808,plain,
( sQ2191_spl
| ~ ssList(app(nil,sk4)) ),
inference(component_clause,[status(thm)],[f44806]) ).
fof(f44981,plain,
( sQ2191_spl
| ~ ssList(sk4) ),
inference(forward_demodulation,[status(thm)],[f753,f44808]) ).
fof(f44982,plain,
( sQ2191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f44981,f432]) ).
fof(f44983,plain,
sQ2191_spl,
inference(contradiction_clause,[status(thm)],[f44982]) ).
fof(f46427,plain,
( ~ ssList(sk3)
| segmentP(app(app(nil,sk3),sk5),sk3)
| ~ ssList(app(sk3,sk5))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f752,f16355]) ).
fof(f46576,definition,
( sQ2316_spl
<=> segmentP(app(app(nil,sk3),sk5),sk3) ),
introduced(definition,[new_symbols(definition,[sQ2316_spl])],[split_symbol_definition]) ).
fof(f46577,plain,
( ~ sQ2316_spl
| segmentP(app(app(nil,sk3),sk5),sk3) ),
inference(component_clause,[status(thm)],[f46576]) ).
fof(f46579,plain,
( ~ sQ6_spl
| sQ2316_spl
| ~ sQ1796_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f46427,f547,f40433,f46576,f510]) ).
fof(f46667,plain,
( ~ sQ2316_spl
| segmentP(app(sk3,sk5),sk3) ),
inference(forward_demodulation,[status(thm)],[f752,f46577]) ).
fof(f46668,plain,
( ~ sQ2316_spl
| segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f438,f46667]) ).
fof(f46669,plain,
( ~ sQ2316_spl
| sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f46668,f1704]) ).
fof(f46670,plain,
( ~ sQ2316_spl
| sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f46669]) ).
fof(f46671,plain,
$false,
inference(sat_refutation,[status(thm)],[f456,f523,f546,f571,f6036,f6059,f40468,f40657,f44598,f44983,f46579,f46670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC092-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 % Computer : n010.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Mon Sep 21 07:55:24 UTC 2026
% 0.15/0.45 % CPUTime :
% 0.15/0.49 % Drodi V4.1.1
% 151.39/19.69 % Refutation found
% 151.39/19.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 151.39/19.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 75.59/19.77 % Elapsed time: 19.299807 seconds
% 75.59/19.77 % CPU time: 152.440350 seconds
% 75.59/19.77 % Total memory used: 574.596 MB
% 75.59/19.77 % Net memory used: 528.291 MB
%------------------------------------------------------------------------------