%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC071-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:39:51 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.53s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 44
% Syntax : Number of formulae : 133 ( 14 unt; 20 def)
% Number of atoms : 375 ( 75 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 452 ( 210 ~; 222 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 21 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
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(f127,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
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,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f263,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f264,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f281,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f282,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f288,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f306,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f310,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f347,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f377,plain,
! [V,W] :
( V = W
| ~ ssList(W)
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f378,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
fof(f379,plain,
! [U,W] :
( U = W
| ~ ssList(W)
| ! [V] :
( ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f380,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,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(f382,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f413,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(f414,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)],[f413]) ).
fof(f440,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f441,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f442,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f443,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f444,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f445,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f446,plain,
( nil = sk4
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f450,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f456,plain,
( nil = sk3
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f457,plain,
( nil = sk3
| ssList(sk7) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f459,plain,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f471,definition,
( sQ2_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ2_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ3_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ3_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f445,f471,f474]) ).
fof(f478,definition,
( sQ4_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f481,definition,
( sQ5_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ5_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f446,f478,f481]) ).
fof(f485,definition,
( sQ6_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ6_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f489,definition,
( sQ7_spl
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f493,definition,
( sQ8_spl
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f497,definition,
( sQ9_spl
<=> cons(sk5,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ9_spl
| cons(sk5,nil) = sk3 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f450,f497,f481]) ).
fof(f501,definition,
( sQ10_spl
<=> app(app(sk6,sk3),sk7) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ10_spl
| app(app(sk6,sk3),sk7) = sk4 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f513,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f456,f489,f485]) ).
fof(f514,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f457,f493,f485]) ).
fof(f516,plain,
( sQ6_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f459,f501,f485]) ).
fof(f537,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)],[f414]) ).
fof(f555,plain,
( sQ2_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f442,f473]) ).
fof(f558,plain,
( sQ3_spl
| ~ sQ6_spl
| sk3 != sk1 ),
inference(backward_demodulation,[status(thm)],[f486,f476]) ).
fof(f559,plain,
! [X0] :
( ~ sQ6_spl
| segmentP(X0,sk3)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f486,f263]) ).
fof(f569,plain,
( sQ3_spl
| ~ sQ6_spl
| sk3 != sk3 ),
inference(forward_demodulation,[status(thm)],[f443,f558]) ).
fof(f570,plain,
( sQ3_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ3_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f442,f444]) ).
fof(f573,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f443,f572]) ).
fof(f575,plain,
( ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f573,f264]) ).
fof(f576,definition,
( sQ13_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ13_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f586,definition,
( sQ16_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( sQ16_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ17_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( sQ17_spl
| ~ neq(sk3,nil) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ18_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( sQ18_spl
| ~ segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f575,f586,f589,f592]) ).
fof(f596,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f440]) ).
fof(f597,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f613,plain,
( sQ18_spl
| ~ sQ6_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f559,f594]) ).
fof(f614,plain,
( sQ18_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f441]) ).
fof(f615,plain,
( sQ18_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f620,definition,
( sQ19_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( sQ19_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f636,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f215]) ).
fof(f637,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f636]) ).
fof(f638,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f441]) ).
fof(f639,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f667,plain,
( ~ ssList(nil)
| nil = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f288,f263]) ).
fof(f669,definition,
( sQ25_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( sQ25_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f667,f620,f669]) ).
fof(f674,plain,
( ~ sQ5_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f555]) ).
fof(f675,plain,
( ~ sQ5_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f715,plain,
( ~ sQ9_spl
| ~ ssList(nil)
| ~ ssItem(sk5)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f498,f307]) ).
fof(f716,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| ~ sQ4_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f715,f485,f478,f620,f497]) ).
fof(f853,plain,
! [X0] :
( X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f263,f347]) ).
fof(f856,definition,
! [X0] :
( sQ35_spl
<=> ( X0 = nil
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ19_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f853,f856,f620]) ).
fof(f923,plain,
! [X0] :
( ~ ssList(app(nil,X0))
| app(nil,X0) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(nil,X0)) ),
inference(resolution,[status(thm)],[f378,f282]) ).
fof(f928,definition,
! [X0] :
( sQ45_spl
<=> ( ~ ssList(app(nil,X0))
| app(nil,X0) = X0
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ19_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f923,f928,f620]) ).
fof(f1198,plain,
! [X0,X1] :
( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f263,f382]) ).
fof(f1200,definition,
! [X0,X1] :
( sQ75_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ19_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1198,f1200,f620]) ).
fof(f1206,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(X0,nil))
| ~ ssList(app(X0,nil)) ),
inference(resolution,[status(thm)],[f281,f380]) ).
fof(f1209,definition,
! [X0] :
( sQ76_spl
<=> ( app(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(app(X0,nil))
| ~ ssList(app(X0,nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ19_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1206,f1209,f620]) ).
fof(f1617,definition,
( sQ126_spl
<=> ssList(app(app(sk6,sk3),sk7)) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( sQ126_spl
| ~ ssList(app(app(sk6,sk3),sk7)) ),
inference(component_clause,[status(thm)],[f1617]) ).
fof(f1730,plain,
( sQ17_spl
| sk3 = nil
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f310,f591]) ).
fof(f1734,plain,
( sQ17_spl
| sQ6_spl
| ~ sQ16_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1730,f620,f586,f485,f589]) ).
fof(f1778,plain,
( ~ sQ10_spl
| segmentP(sk4,sk3)
| ~ ssList(app(app(sk6,sk3),sk7))
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f502,f537]) ).
fof(f1793,plain,
( ~ sQ10_spl
| sQ18_spl
| ~ sQ126_spl
| ~ sQ16_spl
| ~ sQ7_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1778,f493,f489,f586,f1617,f592,f501]) ).
fof(f1827,plain,
( sQ126_spl
| ~ sQ10_spl
| ~ ssList(sk4) ),
inference(forward_demodulation,[status(thm)],[f502,f1619]) ).
fof(f1828,plain,
( sQ126_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1827,f441]) ).
fof(f1829,plain,
( sQ126_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1828]) ).
fof(f1830,plain,
$false,
inference(sat_refutation,[status(thm)],[f477,f484,f500,f513,f514,f516,f571,f595,f597,f615,f637,f639,f672,f675,f716,f859,f931,f1203,f1212,f1734,f1793,f1829]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC071-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n016.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 07:58:23 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.27/0.53 % Refutation found
% 0.27/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.56 % Elapsed time: 0.095247 seconds
% 0.27/0.56 % CPU time: 0.393649 seconds
% 0.27/0.56 % Total memory used: 108.794 MB
% 0.27/0.56 % Net memory used: 108.606 MB
%------------------------------------------------------------------------------