%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL657+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:10:41 PM UTC 2026
% Result : CounterSatisfiable 0.20s 6.03s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
~ ? [X] :
( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ ( p100(Y)
& ~ p101(Y) )
| ( ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& p2(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& ~ p2(X) )
| ~ r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ~ ? [X] :
( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ ( p100(Y)
& ~ p101(Y) )
| ( ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& p2(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& ~ p2(X) )
| ~ r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
? [X] :
( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p100(Y)
| p101(Y)
| ( ? [X] :
( p101(X)
& ~ p102(X)
& p2(X)
& r1(Y,X) )
& ? [X] :
( p101(X)
& ~ p102(X)
& ~ p2(X)
& r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
( p100(sK0_skl)
& ~ p101(sK0_skl)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p100(Y)
| p101(Y)
| ( p101(sK2_skl(Y))
& ~ p102(sK2_skl(Y))
& p2(sK2_skl(Y))
& r1(Y,sK2_skl(Y))
& p101(sK1_skl(Y))
& ~ p102(sK1_skl(Y))
& ~ p2(sK1_skl(Y))
& r1(Y,sK1_skl(Y)) ) ) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y))],[f5]) ).
fof(f7,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p2(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f11,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p2(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1] :
( ~ p101(X0)
| p2(X0)
| ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0,X1] :
( ~ p101(X0)
| ~ p2(X0)
| ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1] :
( ~ p100(X0)
| p1(X0)
| ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ p100(X0)
| ~ p1(X0)
| ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
! [X0] :
( ~ p102(X0)
| p101(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0] :
( ~ p101(X0)
| p100(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
~ p101(sK0_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
p100(sK0_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f4,f7]) ).
fof(f24,plain,
( ~ p102(sK0_skl)
| p101(sK0_skl) ),
inference(resolution,[status(thm)],[f4,f19]) ).
fof(f25,definition,
( sQ0_spl
<=> r1(sK0_skl,sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f26,plain,
( ~ sQ0_spl
| r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,definition,
( sQ1_spl
<=> p101(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f29,plain,
( ~ sQ1_spl
| p101(sK0_skl) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,definition,
( sQ2_spl
<=> p100(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ2_spl
| ~ p100(sK0_skl) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f23,f25,f28,f31]) ).
fof(f35,definition,
( sQ3_spl
<=> p102(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( sQ3_spl
| ~ p102(sK0_skl) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( ~ sQ3_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f24,f28,f35]) ).
fof(f39,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f21]) ).
fof(f40,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f39]) ).
fof(f41,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| r1(sK1_skl(sK0_skl),sK1_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f26,f7]) ).
fof(f42,plain,
( ~ sQ0_spl
| ~ p102(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f26,f19]) ).
fof(f43,definition,
( sQ4_spl
<=> r1(sK1_skl(sK0_skl),sK1_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f46,definition,
( sQ5_spl
<=> p101(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( ~ sQ5_spl
| p101(sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
( sQ6_spl
<=> p100(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( ~ sQ6_spl
| p100(sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f41,f43,f46,f49,f25]) ).
fof(f53,definition,
( sQ7_spl
<=> p102(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f42,f46,f53,f25]) ).
fof(f57,plain,
( ~ sQ5_spl
| p100(sK1_skl(sK0_skl))
| ~ r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f20,f47]) ).
fof(f58,plain,
( ~ sQ5_spl
| sQ6_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f25,f49,f46]) ).
fof(f59,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| p101(sK1_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f10,f26]) ).
fof(f60,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| p101(sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f10,f4]) ).
fof(f61,definition,
( sQ8_spl
<=> p101(sK1_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f59,f61,f46,f49,f25]) ).
fof(f65,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f60,f46,f28,f31]) ).
fof(f66,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| p2(sK2_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f12,f26]) ).
fof(f67,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| p2(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f12,f4]) ).
fof(f68,definition,
( sQ9_spl
<=> p2(sK2_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f66,f68,f46,f49,f25]) ).
fof(f72,definition,
( sQ10_spl
<=> p2(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ10_spl
| p2(sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f72,f28,f31]) ).
fof(f76,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f22]) ).
fof(f77,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f76]) ).
fof(f78,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| p101(sK2_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f14,f26]) ).
fof(f79,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| p101(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f14,f4]) ).
fof(f80,definition,
( sQ11_spl
<=> p101(sK2_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f78,f80,f46,f49,f25]) ).
fof(f84,definition,
( sQ12_spl
<=> p101(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ12_spl
| p101(sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f79,f84,f28,f31]) ).
fof(f88,plain,
( ~ sQ12_spl
| p100(sK2_skl(sK0_skl))
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f85,f20]) ).
fof(f89,definition,
( sQ13_spl
<=> r1(sK0_skl,sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ13_spl
| r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( sQ13_spl
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ14_spl
<=> p100(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ14_spl
| p100(sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ12_spl
| sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f88,f89,f92,f84]) ).
fof(f96,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| r1(sK1_skl(sK0_skl),sK2_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f11,f26]) ).
fof(f97,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f11,f4]) ).
fof(f98,definition,
( sQ15_spl
<=> r1(sK1_skl(sK0_skl),sK2_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f96,f98,f46,f49,f25]) ).
fof(f102,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f97,f89,f28,f31]) ).
fof(f103,plain,
! [X0] :
( ~ sQ10_spl
| ~ p101(X0)
| p2(X0)
| ~ p101(sK2_skl(sK0_skl))
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f15,f73]) ).
fof(f104,definition,
! [X0] :
( sQ16_spl
<=> ( ~ p101(X0)
| p2(X0)
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f105,plain,
! [X0] :
( ~ sQ16_spl
| ~ p101(X0)
| p2(X0)
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f103,f104,f84,f72]) ).
fof(f108,plain,
! [X0] :
( ~ sQ10_spl
| ~ p101(sK2_skl(sK0_skl))
| ~ p101(X0)
| p2(X0)
| ~ r1(sK2_skl(sK0_skl),X0)
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f16,f73]) ).
fof(f109,definition,
! [X0] :
( sQ17_spl
<=> ( ~ p101(X0)
| p2(X0)
| ~ r1(sK2_skl(sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f110,plain,
! [X0] :
( ~ sQ17_spl
| ~ p101(X0)
| p2(X0)
| ~ r1(sK2_skl(sK0_skl),X0) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sQ17_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f108,f89,f109,f84,f72]) ).
fof(f113,plain,
( ~ sQ13_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| r1(sK2_skl(sK0_skl),sK2_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f90,f11]) ).
fof(f114,plain,
( ~ sQ13_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| p101(sK2_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f90,f14]) ).
fof(f115,plain,
( ~ sQ13_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| p2(sK2_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f90,f12]) ).
fof(f116,plain,
( ~ sQ13_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| p101(sK1_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f90,f10]) ).
fof(f117,plain,
( ~ sQ13_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| r1(sK2_skl(sK0_skl),sK1_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f90,f7]) ).
fof(f118,plain,
( ~ sQ13_spl
| ~ p102(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f90,f19]) ).
fof(f119,definition,
( sQ18_spl
<=> r1(sK2_skl(sK0_skl),sK2_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f113,f119,f84,f92,f89]) ).
fof(f123,definition,
( sQ19_spl
<=> p101(sK2_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f114,f123,f84,f92,f89]) ).
fof(f127,definition,
( sQ20_spl
<=> p2(sK2_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f115,f127,f84,f92,f89]) ).
fof(f131,definition,
( sQ21_spl
<=> p101(sK1_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f116,f131,f84,f92,f89]) ).
fof(f135,definition,
( sQ22_spl
<=> r1(sK2_skl(sK0_skl),sK1_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f117,f135,f84,f92,f89]) ).
fof(f139,definition,
( sQ23_spl
<=> p102(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ13_spl
| ~ sQ23_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f118,f84,f139,f89]) ).
fof(f143,plain,
( ~ sQ17_spl
| ~ p101(sK2_skl(sK0_skl))
| p2(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f110,f4]) ).
fof(f144,plain,
( ~ sQ17_spl
| ~ sQ12_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f143,f72,f84,f109]) ).
fof(f145,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ p101(sK0_skl)
| p2(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f105,f90]) ).
fof(f146,plain,
( ~ sQ16_spl
| ~ p101(sK2_skl(sK0_skl))
| p2(sK2_skl(sK0_skl))
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f105,f4]) ).
fof(f147,definition,
( sQ24_spl
<=> r1(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f150,definition,
( sQ25_spl
<=> p2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ1_spl
| sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f145,f147,f150,f28,f104,f89]) ).
fof(f154,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| sQ10_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f146,f89,f72,f84,f104]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| sQ5_spl
| sQ6_spl
| sQ10_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ16_spl
| sQ17_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL657+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/6.00 % Computer : n010.cluster.edu
% 0.16/6.00 % Model : x86_64 x86_64
% 0.16/6.00 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/6.00 % Memory : 8046.5625MB
% 0.16/6.00 % OS : Linux 6.8.0-71-generic
% 0.16/6.00 % CPULimit : 300
% 0.16/6.00 % WCLimit : 300
% 0.16/6.00 % DateTime : Mon Sep 21 00:48:15 UTC 2026
% 0.16/6.01 % CPUTime :
% 0.16/6.01 % Drodi V4.1.1
% 0.20/6.03 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.20/6.03 % SZS output start Saturation for theBenchmark
% See solution above
% 0.20/6.06 % Elapsed time: 0.045876 seconds
% 0.20/6.06 % CPU time: 0.115104 seconds
% 0.20/6.06 % Total memory used: 17.311 MB
% 0.20/6.06 % Net memory used: 16.965 MB
%------------------------------------------------------------------------------