%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC277-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:40:37 PM UTC 2026
% Result : Unsatisfiable 0.14s 20.66s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 80 ( 26 unt; 10 def)
% Number of atoms : 160 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 146 ( 66 ~; 70 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [U] :
( totalorderedP(cons(U,nil))
| ~ 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(f101,axiom,
! [U] :
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,plain,
totalorderedP(nil),
inference(cnf_transformation,[status(thm)],[f4]) ).
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(f250,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f261,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
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(f334,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f425,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f426,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f429,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
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,
~ totalorderedP(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(f484,plain,
segmentP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f429,f431]) ).
fof(f485,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[status(thm)],[f430,f484]) ).
fof(f486,plain,
( ~ sQ2_spl
| singletonP(sk1) ),
inference(forward_demodulation,[status(thm)],[f430,f442]) ).
fof(f508,definition,
( sQ4_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ4_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f516,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f202]) ).
fof(f517,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f551,plain,
! [X0] :
( sk2 = X0
| neq(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f297,f426]) ).
fof(f595,definition,
( sQ8_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ8_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f602,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f425]) ).
fof(f603,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f631,plain,
! [X0] :
( sk1 = X0
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(X0,sk1) ),
inference(resolution,[status(thm)],[f334,f425]) ).
fof(f675,definition,
( sQ16_spl
<=> sk2 = nil ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ16_spl
| sk2 = nil ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f680,plain,
( ~ ssList(sk1)
| sk1 = nil
| ~ ssList(nil)
| ~ segmentP(nil,sk1) ),
inference(resolution,[status(thm)],[f631,f250]) ).
fof(f685,definition,
( sQ18_spl
<=> segmentP(nil,sk1) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( sQ18_spl
| ~ segmentP(nil,sk1) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ19_spl
<=> sk1 = nil ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ19_spl
| sk1 = nil ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ8_spl
| sQ19_spl
| ~ sQ4_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f680,f685,f508,f688,f595]) ).
fof(f1981,plain,
( ~ sQ2_spl
| cons(skaf44(sk1),nil) = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f298,f486]) ).
fof(f1983,definition,
( sQ31_spl
<=> cons(skaf44(sk1),nil) = sk1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1984,plain,
( ~ sQ31_spl
| cons(skaf44(sk1),nil) = sk1 ),
inference(component_clause,[status(thm)],[f1983]) ).
fof(f1986,plain,
( ~ sQ2_spl
| sQ31_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1981,f595,f1983,f441]) ).
fof(f1987,plain,
( sQ3_spl
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[status(thm)],[f429,f446]) ).
fof(f1988,plain,
( sQ3_spl
| sk2 = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1987,f551]) ).
fof(f1989,plain,
( sQ3_spl
| sQ16_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1988,f508,f675,f444]) ).
fof(f2020,plain,
( ~ sQ16_spl
| segmentP(nil,sk1) ),
inference(backward_demodulation,[status(thm)],[f676,f485]) ).
fof(f2040,plain,
( ~ sQ16_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2020,f687]) ).
fof(f2041,plain,
( ~ sQ16_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2065,plain,
( ~ sQ19_spl
| ~ totalorderedP(nil) ),
inference(backward_demodulation,[status(thm)],[f689,f432]) ).
fof(f2184,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2065,f198]) ).
fof(f2185,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f2184]) ).
fof(f2514,plain,
( ~ sQ31_spl
| totalorderedP(sk1)
| ~ ssItem(skaf44(sk1)) ),
inference(paramodulation,[status(thm)],[f1984,f261]) ).
fof(f2522,definition,
( sQ42_spl
<=> ssItem(skaf44(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f2524,plain,
( sQ42_spl
| ~ ssItem(skaf44(sk1)) ),
inference(component_clause,[status(thm)],[f2522]) ).
fof(f2556,definition,
( sQ51_spl
<=> totalorderedP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f2557,plain,
( ~ sQ51_spl
| totalorderedP(sk1) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,plain,
( ~ sQ31_spl
| sQ51_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2514,f2522,f2556,f1983]) ).
fof(f2576,plain,
( sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2524,f241]) ).
fof(f2577,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2583,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2557,f432]) ).
fof(f2584,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f2583]) ).
fof(f2585,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f517,f603,f691,f1986,f1989,f2041,f2185,f2559,f2577,f2584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC277-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/20.54 % Computer : n013.cluster.edu
% 0.09/20.54 % Model : x86_64 x86_64
% 0.09/20.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/20.54 % Memory : 8046.5625MB
% 0.09/20.54 % OS : Linux 6.8.0-71-generic
% 0.09/20.54 % CPULimit : 300
% 0.09/20.54 % WCLimit : 300
% 0.09/20.54 % DateTime : Mon Sep 21 08:11:02 UTC 2026
% 0.09/20.54 % CPUTime :
% 0.09/20.56 % Drodi V4.1.1
% 0.14/20.66 % Refutation found
% 0.14/20.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/20.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/20.67 % Elapsed time: 0.122667 seconds
% 0.14/20.67 % CPU time: 0.728603 seconds
% 0.14/20.67 % Total memory used: 122.365 MB
% 0.14/20.67 % Net memory used: 121.429 MB
%------------------------------------------------------------------------------