%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC371-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:40:58 PM UTC 2026
% Result : Unsatisfiable 175.19s 22.55s
% Output : CNFRefutation 175.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 77 ( 23 unt; 10 def)
% Number of atoms : 202 ( 21 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 242 ( 117 ~; 115 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f149,axiom,
! [U,V,W] :
( app(app(W,V),U) = app(W,app(V,U))
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(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(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/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = 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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f254,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f272,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f283,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f366,plain,
! [X0,X1,X2] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f371,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(f372,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f403,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(f404,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)],[f403]) ).
fof(f428,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f429,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
~ segmentP(sk2,sk1),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f471,plain,
app(sk1,sk5) = sk4,
inference(forward_demodulation,[status(thm)],[f433,f435]) ).
fof(f477,definition,
( sQ5_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ5_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f482,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f428]) ).
fof(f483,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f482]) ).
fof(f487,definition,
( sQ6_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ6_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f495,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f205]) ).
fof(f496,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
app(sk1,sk5) = sk2,
inference(forward_demodulation,[status(thm)],[f432,f471]) ).
fof(f498,plain,
( ssList(sk2)
| ~ ssList(sk1)
| ~ ssList(sk5) ),
inference(paramodulation,[status(thm)],[f497,f283]) ).
fof(f499,definition,
( sQ8_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( sQ8_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ9_spl
<=> ssList(sk2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ9_spl
| ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f498,f499,f477,f502]) ).
fof(f506,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f434]) ).
fof(f507,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f619,plain,
! [X0] :
( app(app(X0,sk1),sk5) = app(X0,sk2)
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(sk5) ),
inference(paramodulation,[status(thm)],[f497,f366]) ).
fof(f620,definition,
! [X0] :
( sQ20_spl
<=> ( app(app(X0,sk1),sk5) = app(X0,sk2)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f621,plain,
! [X0] :
( ~ sQ20_spl
| app(app(X0,sk1),sk5) = app(X0,sk2)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( sQ20_spl
| ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f619,f499,f477,f620]) ).
fof(f696,plain,
! [X0] :
( ~ ssList(sk2)
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ segmentP(X0,sk1)
| ~ segmentP(sk2,X0) ),
inference(resolution,[status(thm)],[f372,f439]) ).
fof(f712,definition,
! [X0] :
( sQ33_spl
<=> ( ~ ssList(X0)
| ~ segmentP(X0,sk1)
| ~ segmentP(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f713,plain,
! [X0] :
( ~ sQ33_spl
| ~ ssList(X0)
| ~ segmentP(X0,sk1)
| ~ segmentP(sk2,X0) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f696,f712,f477,f502]) ).
fof(f724,plain,
( ~ sQ33_spl
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ segmentP(sk2,sk1) ),
inference(resolution,[status(thm)],[f713,f254]) ).
fof(f733,definition,
( sQ36_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f724,f733,f502,f712]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ20_spl
| ~ ssList(X0)
| segmentP(app(X0,sk2),sk1)
| ~ ssList(app(X0,sk2))
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f404,f621]) ).
fof(f1078,definition,
! [X0] :
( sQ58_spl
<=> ( ~ ssList(X0)
| segmentP(app(X0,sk2),sk1)
| ~ ssList(app(X0,sk2))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ58_spl
| ~ ssList(X0)
| segmentP(app(X0,sk2),sk1)
| ~ ssList(app(X0,sk2))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sQ58_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1068,f499,f1078,f477,f620]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ58_spl
| segmentP(app(X0,sk2),sk1)
| ~ ssList(app(X0,sk2))
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1079]) ).
fof(f14620,definition,
( sQ1073_spl
<=> sk2 = app(nil,sk2) ),
introduced(definition,[new_symbols(definition,[sQ1073_spl])],[split_symbol_definition]) ).
fof(f14621,plain,
( ~ sQ1073_spl
| sk2 = app(nil,sk2) ),
inference(component_clause,[status(thm)],[f14620]) ).
fof(f14622,plain,
( sQ1073_spl
| sk2 != app(nil,sk2) ),
inference(component_clause,[status(thm)],[f14620]) ).
fof(f14626,plain,
( sQ1073_spl
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f14622,f272]) ).
fof(f14627,plain,
( sQ1073_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14626,f429]) ).
fof(f14628,plain,
sQ1073_spl,
inference(contradiction_clause,[status(thm)],[f14627]) ).
fof(f14634,plain,
( ~ sQ1073_spl
| ~ sQ58_spl
| segmentP(sk2,sk1)
| ~ ssList(app(nil,sk2))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f14621,f1100]) ).
fof(f14686,definition,
( sQ1076_spl
<=> ssList(app(nil,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ1076_spl])],[split_symbol_definition]) ).
fof(f14688,plain,
( sQ1076_spl
| ~ ssList(app(nil,sk2)) ),
inference(component_clause,[status(thm)],[f14686]) ).
fof(f14689,plain,
( ~ sQ1073_spl
| ~ sQ58_spl
| sQ36_spl
| ~ sQ1076_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f14634,f487,f14686,f733,f1078,f14620]) ).
fof(f14825,plain,
( sQ1076_spl
| ~ sQ1073_spl
| ~ ssList(sk2) ),
inference(forward_demodulation,[status(thm)],[f14621,f14688]) ).
fof(f14826,plain,
( sQ1076_spl
| ~ sQ1073_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14825,f429]) ).
fof(f14827,plain,
( sQ1076_spl
| ~ sQ1073_spl ),
inference(contradiction_clause,[status(thm)],[f14826]) ).
fof(f14828,plain,
$false,
inference(sat_refutation,[status(thm)],[f483,f496,f505,f507,f623,f715,f736,f1081,f14628,f14689,f14827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC371-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:19:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 175.19/22.55 % Refutation found
% 175.19/22.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 175.19/22.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.91/22.65 % Elapsed time: 22.276111 seconds
% 16.91/22.65 % CPU time: 175.887154 seconds
% 16.91/22.65 % Total memory used: 576.233 MB
% 16.91/22.65 % Net memory used: 531.329 MB
%------------------------------------------------------------------------------