%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC294-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:40:41 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 30
% Syntax : Number of formulae : 98 ( 24 unt; 15 def)
% Number of atoms : 248 ( 17 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 284 ( 134 ~; 135 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [U] :
( strictorderedP(cons(U,nil))
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [U] :
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f152,axiom,
! [U,V,W] :
( segmentP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ segmentP(V,W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ strictorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,plain,
strictorderedP(nil),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f202,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f241,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f251,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f260,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f275,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f297,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f298,plain,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f368,plain,
! [U,W] :
( segmentP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ segmentP(V,W)
| ~ segmentP(U,V) ) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f369,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f427,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f428,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f431,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f432,plain,
~ strictorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f441,definition,
( sQ2_spl
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ2_spl
| singletonP(sk3) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ3_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ3_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f433,f441,f444]) ).
fof(f479,plain,
~ strictorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f430,f432]) ).
fof(f482,definition,
( sQ4_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ4_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f490,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f202]) ).
fof(f491,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f490]) ).
fof(f575,definition,
( sQ9_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( sQ9_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ10_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( sQ10_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f598,definition,
( sQ13_spl
<=> segmentP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ13_spl
| segmentP(sk4,sk4) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( sQ13_spl
| ~ segmentP(sk4,sk4) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f605,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f428]) ).
fof(f606,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f628,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f427]) ).
fof(f629,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f642,plain,
! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ segmentP(X0,sk4) ),
inference(resolution,[status(thm)],[f431,f369]) ).
fof(f644,definition,
! [X0] :
( sQ17_spl
<=> ( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f645,plain,
! [X0] :
( ~ sQ17_spl
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk4) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f642,f644,f575,f578]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ segmentP(X1,sk4)
| ~ segmentP(X0,X1)
| segmentP(X0,sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f645,f369]) ).
fof(f656,definition,
! [X0,X1] :
( sQ19_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,sk4)
| ~ segmentP(X0,X1)
| segmentP(X0,sk3)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f657,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,sk4)
| ~ segmentP(X0,X1)
| segmentP(X0,sk3)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f654,f656,f578,f644]) ).
fof(f664,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ ssList(X1)
| ~ segmentP(X1,sk4)
| ~ segmentP(X0,X1)
| segmentP(X0,sk3)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f657]) ).
fof(f765,definition,
( sQ27_spl
<=> segmentP(nil,sk4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( sQ27_spl
| ~ segmentP(nil,sk4) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f788,plain,
( sQ13_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f600,f251]) ).
fof(f793,plain,
( sQ13_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f788,f578,f598]) ).
fof(f843,definition,
! [X0] :
( sQ36_spl
<=> ( ~ ssList(X0)
| ~ segmentP(X0,sk4)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f844,plain,
! [X0] :
( ~ sQ36_spl
| ~ ssList(X0)
| ~ segmentP(X0,sk4)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f939,definition,
( sQ39_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ39_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f953,plain,
! [X0] :
( ~ sQ19_spl
| nil = sk3
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk4)
| ~ segmentP(nil,X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f664,f275]) ).
fof(f956,plain,
( ~ sQ19_spl
| sQ39_spl
| ~ sQ9_spl
| sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f953,f482,f843,f575,f939,f656]) ).
fof(f1058,plain,
( ~ sQ39_spl
| strictorderedP(sk3) ),
inference(backward_demodulation,[status(thm)],[f940,f197]) ).
fof(f1068,plain,
( sQ3_spl
| sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f446,f297]) ).
fof(f1075,definition,
( sQ46_spl
<=> sk4 = nil ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ46_spl
| sk4 = nil ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1079,plain,
( sQ3_spl
| sQ46_spl
| ~ sQ10_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1068,f482,f578,f1075,f444]) ).
fof(f1094,plain,
( sQ27_spl
| ~ sQ46_spl
| ~ segmentP(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f1076,f767]) ).
fof(f1095,plain,
( sQ27_spl
| ~ sQ46_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f599]) ).
fof(f1096,plain,
( sQ27_spl
| ~ sQ46_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1214,plain,
( ~ sQ36_spl
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ segmentP(nil,sk4) ),
inference(resolution,[status(thm)],[f844,f251]) ).
fof(f1224,plain,
( ~ sQ36_spl
| ~ sQ10_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1214,f765,f578,f843]) ).
fof(f1227,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f479]) ).
fof(f1228,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1885,plain,
( ~ sQ2_spl
| cons(skaf44(sk3),nil) = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f442,f298]) ).
fof(f1886,definition,
( sQ110_spl
<=> cons(skaf44(sk3),nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1887,plain,
( ~ sQ110_spl
| cons(skaf44(sk3),nil) = sk3 ),
inference(component_clause,[status(thm)],[f1886]) ).
fof(f1889,plain,
( ~ sQ2_spl
| sQ110_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1885,f575,f1886,f441]) ).
fof(f2314,plain,
( ~ sQ110_spl
| strictorderedP(sk3)
| ~ ssItem(skaf44(sk3)) ),
inference(paramodulation,[status(thm)],[f1887,f260]) ).
fof(f2321,definition,
( sQ135_spl
<=> ssItem(skaf44(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2323,plain,
( sQ135_spl
| ~ ssItem(skaf44(sk3)) ),
inference(component_clause,[status(thm)],[f2321]) ).
fof(f2324,definition,
( sQ136_spl
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2325,plain,
( ~ sQ136_spl
| strictorderedP(sk3) ),
inference(component_clause,[status(thm)],[f2324]) ).
fof(f2327,plain,
( ~ sQ110_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f2314,f2321,f2324,f1886]) ).
fof(f2346,plain,
( sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2323,f241]) ).
fof(f2347,plain,
sQ135_spl,
inference(contradiction_clause,[status(thm)],[f2346]) ).
fof(f2351,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2325,f479]) ).
fof(f2352,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f2351]) ).
fof(f2353,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f491,f606,f629,f647,f659,f793,f956,f1079,f1096,f1224,f1228,f1889,f2327,f2347,f2352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC294-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:14:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.46 % Refutation found
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49 % Elapsed time: 0.105276 seconds
% 0.11/0.49 % CPU time: 0.550498 seconds
% 0.11/0.49 % Total memory used: 118.050 MB
% 0.11/0.49 % Net memory used: 117.413 MB
%------------------------------------------------------------------------------