%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC332-1 : 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 02:40:49 PM UTC 2026
% Result : Unsatisfiable 0.21s 5.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 83 ( 23 unt; 11 def)
% Number of atoms : 171 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 69 ~; 77 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(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(f64,axiom,
! [U] :
( equalelemsP(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,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,plain,
equalelemsP(nil),
inference(cnf_transformation,[status(thm)],[f1]) ).
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(f258,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
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,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
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)],[f432,f441,f444]) ).
fof(f448,definition,
( sQ4_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ4_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ5_spl
<=> equalelemsP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ5_spl
| ~ equalelemsP(sk1) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f433,f448,f451]) ).
fof(f491,plain,
segmentP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f429,f431]) ).
fof(f492,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[status(thm)],[f430,f491]) ).
fof(f493,plain,
( ~ sQ2_spl
| singletonP(sk1) ),
inference(forward_demodulation,[status(thm)],[f430,f442]) ).
fof(f494,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f492]) ).
fof(f495,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f494]) ).
fof(f517,definition,
( sQ6_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ6_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f525,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f202]) ).
fof(f526,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f560,plain,
! [X0] :
( sk2 = X0
| neq(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f297,f426]) ).
fof(f604,definition,
( sQ10_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( sQ10_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f611,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f425]) ).
fof(f612,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f632,plain,
! [X0] :
( sk1 = X0
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(X0,sk1) ),
inference(resolution,[status(thm)],[f334,f425]) ).
fof(f724,definition,
( sQ16_spl
<=> sk2 = nil ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ16_spl
| sk2 = nil ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f729,plain,
( ~ ssList(sk1)
| sk1 = nil
| ~ ssList(nil)
| ~ segmentP(nil,sk1) ),
inference(resolution,[status(thm)],[f632,f250]) ).
fof(f734,definition,
( sQ18_spl
<=> segmentP(nil,sk1) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( sQ18_spl
| ~ segmentP(nil,sk1) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ19_spl
<=> sk1 = nil ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ19_spl
| sk1 = nil ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( ~ sQ10_spl
| sQ19_spl
| ~ sQ6_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f729,f734,f517,f737,f604]) ).
fof(f1993,plain,
( ~ sQ2_spl
| cons(skaf44(sk1),nil) = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f298,f493]) ).
fof(f1995,definition,
( sQ33_spl
<=> cons(skaf44(sk1),nil) = sk1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( ~ sQ33_spl
| cons(skaf44(sk1),nil) = sk1 ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1998,plain,
( ~ sQ2_spl
| sQ33_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1993,f604,f1995,f441]) ).
fof(f1999,plain,
( sQ3_spl
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[status(thm)],[f429,f446]) ).
fof(f2000,plain,
( sQ3_spl
| sk2 = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1999,f560]) ).
fof(f2001,plain,
( sQ3_spl
| sQ16_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2000,f517,f724,f444]) ).
fof(f2032,plain,
( ~ sQ16_spl
| segmentP(nil,sk1) ),
inference(backward_demodulation,[status(thm)],[f725,f492]) ).
fof(f2052,plain,
( ~ sQ16_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f736]) ).
fof(f2053,plain,
( ~ sQ16_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2052]) ).
fof(f2077,plain,
( sQ5_spl
| ~ sQ19_spl
| ~ equalelemsP(nil) ),
inference(backward_demodulation,[status(thm)],[f738,f453]) ).
fof(f2196,plain,
( sQ5_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f195]) ).
fof(f2197,plain,
( sQ5_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2545,plain,
( ~ sQ33_spl
| equalelemsP(sk1)
| ~ ssItem(skaf44(sk1)) ),
inference(paramodulation,[status(thm)],[f1996,f258]) ).
fof(f2549,definition,
( sQ40_spl
<=> ssItem(skaf44(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( sQ40_spl
| ~ ssItem(skaf44(sk1)) ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2583,plain,
( ~ sQ33_spl
| sQ5_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2545,f2549,f451,f1995]) ).
fof(f2590,plain,
( sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2551,f241]) ).
fof(f2591,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2592,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f454,f495,f526,f612,f740,f1998,f2001,f2053,f2197,f2583,f2591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC332-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44 % Computer : n019.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Mon Sep 21 08:17:10 UTC 2026
% 0.15/5.45 % CPUTime :
% 0.15/5.47 % Drodi V4.1.1
% 0.21/5.55 % Refutation found
% 0.21/5.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/5.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.59 % Elapsed time: 0.133224 seconds
% 0.21/5.59 % CPU time: 0.665176 seconds
% 0.21/5.59 % Total memory used: 96.309 MB
% 0.21/5.59 % Net memory used: 95.708 MB
%------------------------------------------------------------------------------