%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC109-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:40:00 PM UTC 2026
% Result : Unsatisfiable 0.04s 5.35s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 70
% Syntax : Number of formulae : 241 ( 13 unt; 36 def)
% Number of atoms : 773 ( 175 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1008 ( 476 ~; 496 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 37 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 158 ( 158 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = 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(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,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(f99,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
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(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,axiom,
! [U,V] :
( nil = V
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [U,V] :
( app(cons(U,nil),V) = cons(U,V)
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
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(f150,axiom,
! [U,V,W] :
( V = W
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f151,axiom,
! [U,V,W] :
( U = W
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ),
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(f170,axiom,
! [U,V,W,X] :
( U = W
| ~ ssList(V)
| ~ ssList(X)
| ~ ssItem(U)
| ~ ssItem(W)
| cons(U,V) != cons(W,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f171,axiom,
! [U,V,W,X] :
( X = V
| ~ ssList(V)
| ~ ssList(X)
| ~ ssItem(U)
| ~ ssItem(W)
| cons(U,V) != cons(W,X) ),
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(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(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,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f202,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f207,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f208,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f217,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f265,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f283,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f284,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f290,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f295,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f310,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != V ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f311,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f312,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f313,plain,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f330,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f331,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f336,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f337,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
! [V] :
( nil = V
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f339,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f340,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f349,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f378,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(f379,plain,
! [V,W] :
( V = W
| ~ ssList(W)
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f380,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
! [U,W] :
( U = W
| ~ ssList(W)
| ! [V] :
( ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f382,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,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(f384,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f410,plain,
! [U,W] :
( U = W
| ! [V] :
( ~ ssList(V)
| ! [X] :
( ~ ssList(X)
| ~ ssItem(U)
| ~ ssItem(W)
| cons(U,V) != cons(W,X) ) ) ),
inference(miniscoping,[status(thm)],[f170]) ).
fof(f411,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| cons(X0,X1) != cons(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f412,plain,
! [V,X] :
( X = V
| ~ ssList(V)
| ~ ssList(X)
| ! [U] :
( ~ ssItem(U)
| ! [W] :
( ~ ssItem(W)
| cons(U,V) != cons(W,X) ) ) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f413,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| cons(X0,X1) != cons(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f415,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(f416,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)],[f415]) ).
fof(f442,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f443,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f444,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f445,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f446,plain,
( nil = sk4
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f447,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f450,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f456,plain,
( nil = sk3
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f457,plain,
( nil = sk3
| ssList(sk7) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f458,plain,
( nil = sk3
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f459,plain,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f465,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f466,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f475,definition,
( sQ2_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f478,definition,
( sQ3_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ3_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f446,f475,f478]) ).
fof(f482,definition,
( sQ4_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ4_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ4_spl
| nil != sk3 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f447,f475,f482]) ).
fof(f486,definition,
( sQ5_spl
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f490,definition,
( sQ6_spl
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f494,definition,
( sQ7_spl
<=> cons(sk5,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ7_spl
| cons(sk5,nil) = sk3 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f450,f494,f478]) ).
fof(f498,definition,
( sQ8_spl
<=> app(app(sk6,sk3),sk7) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ8_spl
| app(app(sk6,sk3),sk7) = sk4 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f510,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f456,f486,f482]) ).
fof(f511,plain,
( sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f457,f490,f482]) ).
fof(f512,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f458,f494,f482]) ).
fof(f513,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f459,f498,f482]) ).
fof(f516,definition,
( sQ11_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ11_spl
| nil = sk2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ11_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ12_spl
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ12_spl
| neq(sk2,nil) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f523,definition,
( sQ13_spl
<=> neq(sk1,nil) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ13_spl
| ~ neq(sk1,nil) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ14_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ14_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f465,f516,f523,f526]) ).
fof(f530,definition,
( sQ15_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( sQ15_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ12_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f466,f530,f519]) ).
fof(f542,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f331]) ).
fof(f543,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f542]) ).
fof(f553,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f416]) ).
fof(f567,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| nil = sk4 ),
inference(backward_demodulation,[status(thm)],[f570,f483]) ).
fof(f568,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk1 = sk4 ),
inference(backward_demodulation,[status(thm)],[f570,f445]) ).
fof(f570,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk3 = sk4 ),
inference(forward_demodulation,[status(thm)],[f483,f479]) ).
fof(f571,plain,
( sQ15_spl
| ~ sQ11_spl
| sk4 != sk1 ),
inference(backward_demodulation,[status(thm)],[f572,f532]) ).
fof(f572,plain,
( ~ sQ11_spl
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f444,f517]) ).
fof(f573,plain,
( sQ15_spl
| ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f568,f571]) ).
fof(f574,plain,
( sQ15_spl
| ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ15_spl
| ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( ~ sQ12_spl
| neq(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f444,f520]) ).
fof(f578,plain,
( sQ11_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f444,f518]) ).
fof(f579,plain,
( sQ11_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f567,f578]) ).
fof(f580,plain,
( sQ11_spl
| ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ11_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( ~ sQ11_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f572,f478,f516]) ).
fof(f591,plain,
! [X0] :
( ~ sQ3_spl
| segmentP(X0,sk4)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f479,f265]) ).
fof(f593,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| neq(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f479,f576]) ).
fof(f595,plain,
( sQ13_spl
| ~ neq(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f445,f525]) ).
fof(f601,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f543,f593]) ).
fof(f602,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f443]) ).
fof(f603,plain,
( ~ sQ12_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( ~ ssList(nil)
| nil = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f290,f265]) ).
fof(f606,definition,
( sQ16_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ16_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ17_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f604,f606,f609]) ).
fof(f614,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f217]) ).
fof(f615,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f627,plain,
! [X0] :
( ~ sQ3_spl
| sk4 = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(backward_demodulation,[status(thm)],[f479,f290]) ).
fof(f632,plain,
! [X0] :
( ~ sQ3_spl
| sk4 = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f479,f627]) ).
fof(f636,plain,
( ~ sQ8_spl
| ssList(sk4)
| ~ ssList(app(sk6,sk3))
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f499,f295]) ).
fof(f637,definition,
( sQ18_spl
<=> ssList(app(sk6,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( sQ18_spl
| ~ ssList(app(sk6,sk3)) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ19_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ8_spl
| sQ19_spl
| ~ sQ18_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f636,f490,f637,f640,f498]) ).
fof(f645,definition,
( sQ20_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( sQ20_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f649,plain,
( sQ18_spl
| ~ ssList(sk6)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f639,f295]) ).
fof(f650,plain,
( sQ18_spl
| ~ sQ5_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f649,f645,f486,f637]) ).
fof(f651,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f442]) ).
fof(f652,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f660,plain,
( ~ sQ3_spl
| ~ ssList(sk4)
| sk4 = sk4
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f632,f591]) ).
fof(f662,definition,
( sQ22_spl
<=> sk4 = sk4 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ3_spl
| sQ22_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f660,f640,f662,f478]) ).
fof(f681,plain,
! [X0,X1] :
( ~ sQ3_spl
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f479,f337]) ).
fof(f682,plain,
! [X0,X1] :
( ~ sQ3_spl
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f479,f681]) ).
fof(f686,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| sk4 = app(sk6,sk3)
| ~ ssList(app(sk6,sk3))
| ~ ssList(sk7)
| sk4 != sk4 ),
inference(paramodulation,[status(thm)],[f499,f682]) ).
fof(f688,definition,
( sQ24_spl
<=> sk4 = app(sk6,sk3) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| sQ24_spl
| ~ sQ18_spl
| ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f686,f662,f490,f637,f688,f478,f498]) ).
fof(f741,plain,
( sQ13_spl
| sk3 = nil
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f595,f312]) ).
fof(f749,plain,
( sQ13_spl
| sQ4_spl
| ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f741,f606,f645,f482,f523]) ).
fof(f750,plain,
( sQ14_spl
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f444,f528]) ).
fof(f751,plain,
( sQ14_spl
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f445,f750]) ).
fof(f752,plain,
( ~ sQ7_spl
| ~ ssList(nil)
| ~ ssItem(sk5)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f495,f311]) ).
fof(f754,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f752,f482,f475,f606,f494]) ).
fof(f759,plain,
! [X0] :
( ~ sQ7_spl
| app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f495,f340]) ).
fof(f760,definition,
! [X0] :
( sQ28_spl
<=> ( app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f761,plain,
! [X0] :
( ~ sQ28_spl
| app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( ~ sQ7_spl
| sQ28_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f759,f475,f760,f494]) ).
fof(f766,definition,
( sQ29_spl
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ29_spl
| nil = sk7 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f771,plain,
( ~ sQ7_spl
| ~ sQ28_spl
| app(sk3,nil) = sk3
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f495,f761]) ).
fof(f772,definition,
( sQ30_spl
<=> app(sk3,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ30_spl
| app(sk3,nil) = sk3 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ7_spl
| ~ sQ28_spl
| sQ30_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f771,f606,f772,f760,f494]) ).
fof(f789,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f349,f265]) ).
fof(f791,definition,
! [X0] :
( sQ32_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ16_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f789,f791,f606]) ).
fof(f823,plain,
! [X0] :
( ~ ssList(app(nil,X0))
| app(nil,X0) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(nil,X0)) ),
inference(resolution,[status(thm)],[f380,f284]) ).
fof(f825,plain,
! [X0] :
( ~ sQ30_spl
| nil = X0
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| sk3 != app(sk3,X0) ),
inference(paramodulation,[status(thm)],[f773,f380]) ).
fof(f830,definition,
! [X0] :
( sQ36_spl
<=> ( ~ ssList(app(nil,X0))
| app(nil,X0) = X0
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ16_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f823,f830,f606]) ).
fof(f835,definition,
! [X0] :
( sQ37_spl
<=> ( nil = X0
| ~ ssList(X0)
| sk3 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f836,plain,
! [X0] :
( ~ sQ37_spl
| nil = X0
| ~ ssList(X0)
| sk3 != app(sk3,X0) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( ~ sQ30_spl
| ~ sQ20_spl
| ~ sQ16_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f825,f835,f606,f645,f772]) ).
fof(f926,plain,
( ~ sQ8_spl
| sk4 = app(sk6,app(sk3,sk7))
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f499,f378]) ).
fof(f929,definition,
( sQ48_spl
<=> sk4 = app(sk6,app(sk3,sk7)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ48_spl
| sk4 = app(sk6,app(sk3,sk7)) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( ~ sQ8_spl
| sQ48_spl
| ~ sQ5_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f926,f490,f645,f486,f929,f498]) ).
fof(f962,plain,
! [X0] :
( ~ ssList(app(X0,nil))
| app(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(X0,nil)) ),
inference(resolution,[status(thm)],[f382,f283]) ).
fof(f969,definition,
! [X0] :
( sQ51_spl
<=> ( ~ ssList(app(X0,nil))
| app(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(app(X0,nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ16_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f962,f969,f606]) ).
fof(f986,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f384,f265]) ).
fof(f988,definition,
! [X0,X1] :
( sQ54_spl
<=> ( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ16_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f986,f988,f606]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ48_spl
| X0 = app(sk3,sk7)
| ~ ssList(app(sk3,sk7))
| ~ ssList(sk6)
| ~ ssList(X0)
| app(sk6,X0) != sk4 ),
inference(paramodulation,[status(thm)],[f930,f380]) ).
fof(f1003,plain,
( ~ sQ48_spl
| nil = sk6
| ~ ssList(sk6)
| ~ ssList(app(sk3,sk7))
| sk4 != nil ),
inference(paramodulation,[status(thm)],[f930,f337]) ).
fof(f1004,plain,
( ~ sQ48_spl
| nil = app(sk3,sk7)
| ~ ssList(sk6)
| ~ ssList(app(sk3,sk7))
| sk4 != nil ),
inference(paramodulation,[status(thm)],[f930,f339]) ).
fof(f1009,definition,
( sQ56_spl
<=> ssList(app(sk3,sk7)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( sQ56_spl
| ~ ssList(app(sk3,sk7)) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1018,definition,
! [X0] :
( sQ58_spl
<=> ( X0 = app(sk3,sk7)
| ~ ssList(X0)
| app(sk6,X0) != sk4 ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ58_spl
| X0 = app(sk3,sk7)
| ~ ssList(X0)
| app(sk6,X0) != sk4 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( ~ sQ48_spl
| ~ sQ56_spl
| ~ sQ5_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1001,f1018,f486,f1009,f929]) ).
fof(f1023,definition,
( sQ59_spl
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ59_spl
| nil = sk6 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( ~ sQ48_spl
| sQ59_spl
| ~ sQ5_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1003,f478,f1009,f486,f1023,f929]) ).
fof(f1027,definition,
( sQ60_spl
<=> nil = app(sk3,sk7) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
( ~ sQ60_spl
| nil = app(sk3,sk7) ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,plain,
( ~ sQ48_spl
| sQ60_spl
| ~ sQ5_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1004,f478,f1009,f486,f1027,f929]) ).
fof(f1032,plain,
( sQ56_spl
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(resolution,[status(thm)],[f1011,f295]) ).
fof(f1033,plain,
( sQ56_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1032,f490,f645,f1009]) ).
fof(f1175,plain,
( ~ sQ37_spl
| ~ sQ58_spl
| nil = sk7
| ~ ssList(sk7)
| ~ ssList(sk3)
| app(sk6,sk3) != sk4 ),
inference(resolution,[status(thm)],[f1019,f836]) ).
fof(f1186,plain,
( ~ sQ37_spl
| ~ sQ58_spl
| sQ29_spl
| ~ sQ6_spl
| ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1175,f688,f645,f490,f766,f1018,f835]) ).
fof(f1230,plain,
( sQ4_spl
| ~ sQ29_spl
| sk7 != sk3 ),
inference(backward_demodulation,[status(thm)],[f767,f484]) ).
fof(f1340,plain,
( ~ sQ8_spl
| segmentP(sk4,sk3)
| ~ ssList(app(app(sk6,sk3),sk7))
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f499,f553]) ).
fof(f1344,definition,
( sQ94_spl
<=> ssList(app(app(sk6,sk3),sk7)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ94_spl
| ~ ssList(app(app(sk6,sk3),sk7)) ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,definition,
( sQ95_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( ~ sQ95_spl
| segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,plain,
( ~ sQ8_spl
| sQ95_spl
| ~ sQ94_spl
| ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1340,f490,f486,f645,f1344,f1347,f498]) ).
fof(f1356,plain,
( sQ94_spl
| ~ sQ8_spl
| ~ ssList(sk4) ),
inference(forward_demodulation,[status(thm)],[f499,f1346]) ).
fof(f1357,plain,
( sQ94_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f443]) ).
fof(f1358,plain,
( sQ94_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1357]) ).
fof(f1359,plain,
( ~ sQ95_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f751]) ).
fof(f1360,plain,
( ~ sQ95_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1359]) ).
fof(f1402,plain,
( ~ sQ59_spl
| ~ sQ29_spl
| nil = sk7 ),
inference(backward_demodulation,[status(thm)],[f1409,f1024]) ).
fof(f1409,plain,
( ~ sQ29_spl
| ~ sQ59_spl
| sk6 = sk7 ),
inference(forward_demodulation,[status(thm)],[f1024,f767]) ).
fof(f1423,plain,
! [X0,X1] :
( X1 = nil
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(skaf44(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ singletonP(cons(X0,X1)) ),
inference(resolution,[status(thm)],[f313,f413]) ).
fof(f1424,plain,
! [X0,X1] :
( skaf44(cons(X0,X1)) = X0
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(skaf44(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ singletonP(cons(X0,X1)) ),
inference(resolution,[status(thm)],[f313,f411]) ).
fof(f1428,definition,
! [X0,X1] :
( sQ97_spl
<=> ( X1 = nil
| ~ ssList(X1)
| ~ ssItem(skaf44(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ singletonP(cons(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( ~ sQ16_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1423,f1428,f606]) ).
fof(f1432,definition,
! [X0,X1] :
( sQ98_spl
<=> ( skaf44(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(skaf44(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ singletonP(cons(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1435,plain,
( ~ sQ16_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1424,f1432,f606]) ).
fof(f1560,plain,
( ~ sQ30_spl
| ~ sQ59_spl
| ~ sQ29_spl
| app(sk3,sk7) = sk3 ),
inference(forward_demodulation,[status(thm)],[f1402,f773]) ).
fof(f1639,plain,
( ~ sQ60_spl
| ~ sQ59_spl
| ~ sQ29_spl
| sk7 = app(sk3,sk7) ),
inference(forward_demodulation,[status(thm)],[f1402,f1028]) ).
fof(f1640,plain,
( ~ sQ60_spl
| ~ sQ59_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sk7 = sk3 ),
inference(forward_demodulation,[status(thm)],[f1560,f1639]) ).
fof(f1641,plain,
( ~ sQ60_spl
| ~ sQ59_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f1230]) ).
fof(f1642,plain,
( ~ sQ60_spl
| ~ sQ59_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1643,plain,
$false,
inference(sat_refutation,[status(thm)],[f481,f485,f497,f510,f511,f512,f513,f529,f533,f575,f581,f582,f603,f612,f615,f643,f650,f652,f665,f693,f749,f754,f763,f775,f794,f833,f838,f932,f972,f991,f1021,f1026,f1030,f1033,f1186,f1350,f1358,f1360,f1431,f1435,f1642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC109-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/5.31 % Computer : n012.cluster.edu
% 0.04/5.31 % Model : x86_64 x86_64
% 0.04/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31 % Memory : 8046.5625MB
% 0.04/5.31 % OS : Linux 6.8.0-71-generic
% 0.04/5.31 % CPULimit : 300
% 0.04/5.31 % WCLimit : 300
% 0.04/5.31 % DateTime : Mon Sep 21 07:55:42 UTC 2026
% 0.04/5.31 % CPUTime :
% 0.04/5.32 % Drodi V4.1.1
% 0.04/5.35 % Refutation found
% 0.04/5.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/5.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/5.38 % Elapsed time: 0.054676 seconds
% 0.04/5.38 % CPU time: 0.191665 seconds
% 0.04/5.38 % Total memory used: 112.859 MB
% 0.04/5.38 % Net memory used: 112.559 MB
%------------------------------------------------------------------------------