%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:07:50 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 79 ( 29 unt; 7 def)
% Number of atoms : 180 ( 45 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 190 ( 89 ~; 94 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z,Sigma] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
x1 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
x7 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
x2 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( X = Y
| ! [Sigma] : ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f42,plain,
x1 != x11,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
x7 != x9,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
x2 != x11,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f50,plain,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X3
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(paramodulation,[status(thm)],[f23,f32]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X3
| X1 = X2
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(paramodulation,[status(thm)],[f23,f71]) ).
fof(f149,plain,
heap(sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f50]) ).
fof(f150,plain,
heap(sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f149]) ).
fof(f151,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f150]) ).
fof(f152,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f151]) ).
fof(f153,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f152]) ).
fof(f154,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f153]) ).
fof(f155,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f154]) ).
fof(f156,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f155]) ).
fof(f157,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x11,x3),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f156]) ).
fof(f158,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f157]) ).
fof(f159,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x11,x6),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f158]) ).
fof(f160,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f159]) ).
fof(f161,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f160]) ).
fof(f162,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))),
inference(forward_demodulation,[status(thm)],[f23,f161]) ).
fof(f227,plain,
( x9 = x2
| x9 = x7 ),
inference(resolution,[status(thm)],[f162,f32]) ).
fof(f228,definition,
( sQ4_spl
<=> x9 = x7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ4_spl
| x9 = x7 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ5_spl
<=> x9 = x2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ5_spl
| x9 = x2 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f227,f228,f231]) ).
fof(f235,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f229,f48]) ).
fof(f236,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f235]) ).
fof(f251,plain,
( ~ sQ5_spl
| heap(sep(lseg(x9,x7),sep(lseg(x9,x9),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))) ),
inference(backward_demodulation,[status(thm)],[f232,f162]) ).
fof(f252,plain,
( ~ sQ5_spl
| x9 != x11 ),
inference(backward_demodulation,[status(thm)],[f232,f49]) ).
fof(f253,plain,
( ~ sQ5_spl
| heap(sep(lseg(x9,x9),sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))) ),
inference(forward_demodulation,[status(thm)],[f23,f251]) ).
fof(f254,plain,
( ~ sQ5_spl
| heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))) ),
inference(forward_demodulation,[status(thm)],[f24,f253]) ).
fof(f255,plain,
( ~ sQ5_spl
| x11 = x7
| x11 = x9 ),
inference(resolution,[status(thm)],[f254,f111]) ).
fof(f256,definition,
( sQ6_spl
<=> x11 = x9 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ6_spl
| x11 = x9 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ7_spl
<=> x11 = x7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ7_spl
| x11 = x7 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( ~ sQ5_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f255,f256,f259,f231]) ).
fof(f263,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f252]) ).
fof(f264,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f274,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp))))))))) ),
inference(backward_demodulation,[status(thm)],[f260,f254]) ).
fof(f278,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp))))))))) ),
inference(forward_demodulation,[status(thm)],[f260,f274]) ).
fof(f279,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp))))))))) ),
inference(forward_demodulation,[status(thm)],[f260,f278]) ).
fof(f280,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp)))))))) ),
inference(forward_demodulation,[status(thm)],[f24,f279]) ).
fof(f281,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))) ),
inference(forward_demodulation,[status(thm)],[f23,f280]) ).
fof(f282,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))) ),
inference(forward_demodulation,[status(thm)],[f23,f281]) ).
fof(f302,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| x11 = x3
| x11 = x9 ),
inference(resolution,[status(thm)],[f282,f111]) ).
fof(f303,definition,
( sQ8_spl
<=> x11 = x3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ8_spl
| x11 = x3 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f310,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f302,f256,f303,f259,f231]) ).
fof(f311,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))) ),
inference(backward_demodulation,[status(thm)],[f304,f282]) ).
fof(f314,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))) ),
inference(forward_demodulation,[status(thm)],[f24,f311]) ).
fof(f316,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| x11 = x10
| x11 = x9 ),
inference(resolution,[status(thm)],[f314,f111]) ).
fof(f317,definition,
( sQ10_spl
<=> x11 = x10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ10_spl
| x11 = x10 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f324,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ10_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f316,f256,f317,f303,f259,f231]) ).
fof(f325,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x1),emp))))))) ),
inference(backward_demodulation,[status(thm)],[f318,f314]) ).
fof(f326,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x1),emp))))))) ),
inference(forward_demodulation,[status(thm)],[f318,f325]) ).
fof(f327,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x1),emp)))))) ),
inference(forward_demodulation,[status(thm)],[f24,f326]) ).
fof(f328,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x11,x1),sep(lseg(x4,x5),emp)))))) ),
inference(forward_demodulation,[status(thm)],[f23,f327]) ).
fof(f329,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))) ),
inference(forward_demodulation,[status(thm)],[f23,f328]) ).
fof(f331,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| x11 = x1
| x11 = x9 ),
inference(resolution,[status(thm)],[f329,f111]) ).
fof(f332,definition,
( sQ12_spl
<=> x11 = x1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ12_spl
| x11 = x1 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f339,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sQ12_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f331,f256,f332,f317,f303,f259,f231]) ).
fof(f340,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f333,f42]) ).
fof(f341,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f342,plain,
$false,
inference(sat_refutation,[status(thm)],[f234,f236,f262,f264,f310,f324,f339,f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n007.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:50:06 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.55 % Refutation found
% 0.18/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.59 % Elapsed time: 0.125227 seconds
% 0.26/0.59 % CPU time: 0.483437 seconds
% 0.26/0.59 % Total memory used: 87.676 MB
% 0.26/0.59 % Net memory used: 87.429 MB
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