%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL675+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 : 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 01:10:50 PM UTC 2026
% Result : CounterSatisfiable 0.07s 0.38s
% Output : Saturation 0.07s
% 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,axiom,
! [X,Y,Z] :
( ( r1(Y,Z)
& r1(X,Y) )
=> r1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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(f4,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)],[f3]) ).
fof(f5,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ r1(Y,Z)
| ~ r1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X,Z] :
( r1(X,Z)
| ! [Y] :
( ~ r1(Y,Z)
| ~ r1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,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)],[f4]) ).
fof(f10,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))],[f9]) ).
fof(f11,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p2(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f14,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f15,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f16,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p2(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f18,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f19,plain,
! [X0,X1] :
( ~ p101(X0)
| p2(X0)
| ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f20,plain,
! [X0,X1] :
( ~ p101(X0)
| ~ p2(X0)
| ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,plain,
! [X0,X1] :
( ~ p100(X0)
| p1(X0)
| ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
! [X0,X1] :
( ~ p100(X0)
| ~ p1(X0)
| ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0] :
( ~ p102(X0)
| p101(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
! [X0] :
( ~ p101(X0)
| p100(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
~ p101(sK0_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
p100(sK0_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f5,f11]) ).
fof(f28,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| p2(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f5,f16]) ).
fof(f29,plain,
( ~ p100(sK0_skl)
| p101(sK0_skl)
| p101(sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f5,f14]) ).
fof(f31,plain,
( ~ p102(sK0_skl)
| p101(sK0_skl) ),
inference(resolution,[status(thm)],[f5,f23]) ).
fof(f32,definition,
( sQ0_spl
<=> r1(sK0_skl,sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( ~ sQ0_spl
| r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,definition,
( sQ1_spl
<=> p101(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f36,plain,
( ~ sQ1_spl
| p101(sK0_skl) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,definition,
( sQ2_spl
<=> p100(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f40,plain,
( sQ2_spl
| ~ p100(sK0_skl) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f32,f35,f38]) ).
fof(f42,definition,
( sQ3_spl
<=> p2(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( ~ sQ3_spl
| p2(sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f28,f42,f35,f38]) ).
fof(f46,definition,
( sQ4_spl
<=> p101(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( ~ sQ4_spl
| p101(sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f29,f46,f35,f38]) ).
fof(f51,definition,
( sQ5_spl
<=> p102(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f53,plain,
( sQ5_spl
| ~ p102(sK0_skl) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( ~ sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f31,f35,f51]) ).
fof(f55,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f25]) ).
fof(f56,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f55]) ).
fof(f57,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f40,f26]) ).
fof(f58,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f57]) ).
fof(f59,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)],[f33,f11]) ).
fof(f60,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| p2(sK2_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f33,f16]) ).
fof(f61,plain,
( ~ sQ0_spl
| ~ p100(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl))
| p101(sK1_skl(sK1_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f33,f14]) ).
fof(f62,plain,
( ~ sQ0_spl
| ~ p101(sK1_skl(sK0_skl))
| p100(sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f33,f24]) ).
fof(f63,plain,
( ~ sQ0_spl
| ~ p102(sK1_skl(sK0_skl))
| p101(sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f33,f23]) ).
fof(f64,definition,
( sQ6_spl
<=> r1(sK1_skl(sK0_skl),sK1_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f67,definition,
( sQ7_spl
<=> p100(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( ~ sQ7_spl
| p100(sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f64,f46,f67,f32]) ).
fof(f71,definition,
( sQ8_spl
<=> p2(sK2_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f60,f71,f46,f67,f32]) ).
fof(f75,definition,
( sQ9_spl
<=> p101(sK1_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f61,f75,f46,f67,f32]) ).
fof(f79,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f62,f67,f46,f32]) ).
fof(f80,definition,
( sQ10_spl
<=> p102(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f63,f46,f80,f32]) ).
fof(f84,plain,
! [X0] :
( ~ sQ0_spl
| r1(X0,sK1_skl(sK0_skl))
| ~ r1(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f8,f33]) ).
fof(f87,plain,
( ~ sQ7_spl
| p101(sK1_skl(sK0_skl))
| p101(sK2_skl(sK1_skl(sK0_skl)))
| ~ r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f18,f68]) ).
fof(f88,definition,
( sQ11_spl
<=> p101(sK2_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ7_spl
| sQ4_spl
| sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f87,f32,f88,f46,f67]) ).
fof(f92,plain,
( ~ sQ7_spl
| p101(sK1_skl(sK0_skl))
| r1(sK1_skl(sK0_skl),sK2_skl(sK1_skl(sK0_skl)))
| ~ r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f15,f68]) ).
fof(f93,definition,
( sQ12_spl
<=> r1(sK1_skl(sK0_skl),sK2_skl(sK1_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ7_spl
| sQ4_spl
| sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f92,f32,f93,f46,f67]) ).
fof(f98,plain,
! [X0] :
( ~ sQ4_spl
| ~ p101(X0)
| p2(X0)
| ~ p2(sK1_skl(sK0_skl))
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f19,f47]) ).
fof(f99,plain,
! [X0] :
( ~ sQ4_spl
| p2(sK1_skl(sK0_skl))
| ~ p101(X0)
| ~ p2(X0)
| ~ r1(sK1_skl(sK0_skl),X0)
| ~ r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f19,f47]) ).
fof(f100,definition,
( sQ13_spl
<=> r1(sK1_skl(sK0_skl),sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ13_spl
| ~ r1(sK1_skl(sK0_skl),sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ14_spl
<=> p2(sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ14_spl
| p2(sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ14_spl
| ~ p2(sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f107,definition,
! [X0] :
( sQ15_spl
<=> ( ~ p101(X0)
| p2(X0)
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f108,plain,
! [X0] :
( ~ sQ15_spl
| ~ p101(X0)
| p2(X0)
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f98,f107,f103,f46]) ).
fof(f111,definition,
! [X0] :
( sQ16_spl
<=> ( ~ p101(X0)
| ~ p2(X0)
| ~ r1(sK1_skl(sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f112,plain,
! [X0] :
( ~ sQ16_spl
| ~ p101(X0)
| ~ p2(X0)
| ~ r1(sK1_skl(sK0_skl),X0) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( ~ sQ4_spl
| sQ14_spl
| sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f99,f32,f111,f103,f46]) ).
fof(f115,plain,
( ~ sQ16_spl
| ~ p101(sK1_skl(sK0_skl))
| ~ p2(sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f112,f5]) ).
fof(f116,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f115,f103,f46,f111]) ).
fof(f117,plain,
! [X0] :
( ~ sQ4_spl
| ~ p101(X0)
| ~ p2(X0)
| p2(sK1_skl(sK0_skl))
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f20,f47]) ).
fof(f118,definition,
! [X0] :
( sQ17_spl
<=> ( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f119,plain,
! [X0] :
( ~ sQ17_spl
| ~ p101(X0)
| ~ p2(X0)
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( ~ sQ4_spl
| sQ14_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f117,f118,f103,f46]) ).
fof(f122,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ15_spl
| ~ p101(X0)
| ~ r1(X0,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f108]) ).
fof(f125,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ15_spl
| ~ r1(sK1_skl(sK0_skl),sK1_skl(sK0_skl))
| ~ r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f122,f47]) ).
fof(f126,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f125,f32,f100,f107,f118,f46]) ).
fof(f127,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f5]) ).
fof(f128,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( ~ sQ14_spl
| ~ p100(sK0_skl)
| p101(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f104,f12]) ).
fof(f130,definition,
( sQ18_spl
<=> r1(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ18_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f129,f130,f35,f38,f103]) ).
fof(f136,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ p2(sK1_skl(sK0_skl))
| ~ r1(sK1_skl(sK0_skl),sK1_skl(sK0_skl))
| ~ r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f119,f47]) ).
fof(f137,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f136,f32,f100,f103,f118,f46]) ).
fof(f138,plain,
( p101(sK0_skl)
| r1(sK0_skl,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f26,f15]) ).
fof(f139,plain,
( p101(sK0_skl)
| p101(sK2_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f26,f18]) ).
fof(f140,definition,
( sQ19_spl
<=> r1(sK0_skl,sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ19_spl
| r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ1_spl
| sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f138,f130,f140,f35]) ).
fof(f144,definition,
( sQ20_spl
<=> p101(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ20_spl
| p101(sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sQ1_spl
| sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f139,f130,f144,f35]) ).
fof(f148,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f5]) ).
fof(f149,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ p2(sK2_skl(sK0_skl))
| ~ r1(sK2_skl(sK0_skl),sK1_skl(sK0_skl))
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f145,f119]) ).
fof(f151,plain,
! [X0] :
( ~ sQ20_spl
| ~ p101(X0)
| ~ p2(X0)
| p2(sK2_skl(sK0_skl))
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f145,f20]) ).
fof(f153,plain,
! [X0] :
( ~ sQ20_spl
| p2(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)],[f145,f19]) ).
fof(f155,plain,
! [X0] :
( ~ sQ20_spl
| ~ p101(X0)
| p2(X0)
| ~ p2(sK2_skl(sK0_skl))
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f145,f19]) ).
fof(f156,definition,
( sQ21_spl
<=> r1(sK2_skl(sK0_skl),sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ21_spl
| ~ r1(sK2_skl(sK0_skl),sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( ~ sQ17_spl
| ~ sQ20_spl
| ~ sQ3_spl
| ~ sQ21_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f150,f140,f156,f42,f144,f118]) ).
fof(f160,definition,
! [X0] :
( sQ22_spl
<=> ( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ20_spl
| sQ3_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f151,f160,f42,f144]) ).
fof(f168,definition,
! [X0] :
( sQ24_spl
<=> ( ~ p101(X0)
| ~ p2(X0)
| ~ r1(sK2_skl(sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ20_spl
| sQ3_spl
| sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f153,f140,f168,f42,f144]) ).
fof(f173,definition,
! [X0] :
( sQ25_spl
<=> ( ~ p101(X0)
| p2(X0)
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f174,plain,
! [X0] :
( ~ sQ25_spl
| ~ p101(X0)
| p2(X0)
| ~ r1(X0,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f155,f173,f42,f144]) ).
fof(f177,plain,
( ~ sQ19_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)],[f141,f11]) ).
fof(f178,plain,
( ~ sQ19_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| p2(sK2_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f141,f16]) ).
fof(f179,plain,
( ~ sQ19_spl
| ~ p100(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl))
| p101(sK1_skl(sK2_skl(sK0_skl))) ),
inference(resolution,[status(thm)],[f141,f14]) ).
fof(f180,plain,
( ~ sQ19_spl
| ~ p101(sK2_skl(sK0_skl))
| p100(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f141,f24]) ).
fof(f181,plain,
( ~ sQ19_spl
| ~ p102(sK2_skl(sK0_skl))
| p101(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f141,f23]) ).
fof(f182,plain,
! [X0] :
( ~ sQ19_spl
| r1(X0,sK2_skl(sK0_skl))
| ~ r1(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f141,f8]) ).
fof(f183,definition,
( sQ26_spl
<=> r1(sK2_skl(sK0_skl),sK1_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f186,definition,
( sQ27_spl
<=> p100(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ27_spl
| p100(sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( ~ sQ19_spl
| ~ sQ27_spl
| sQ20_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f177,f183,f144,f186,f140]) ).
fof(f190,definition,
( sQ28_spl
<=> p2(sK2_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ19_spl
| ~ sQ27_spl
| sQ20_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f178,f190,f144,f186,f140]) ).
fof(f194,definition,
( sQ29_spl
<=> p101(sK1_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ19_spl
| ~ sQ27_spl
| sQ20_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f179,f194,f144,f186,f140]) ).
fof(f198,plain,
( ~ sQ19_spl
| ~ sQ20_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f180,f186,f144,f140]) ).
fof(f199,definition,
( sQ30_spl
<=> p102(sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ19_spl
| ~ sQ30_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f181,f144,f199,f140]) ).
fof(f203,plain,
( ~ sQ27_spl
| p101(sK2_skl(sK0_skl))
| r1(sK2_skl(sK0_skl),sK2_skl(sK2_skl(sK0_skl)))
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f187,f15]) ).
fof(f204,plain,
( ~ sQ27_spl
| p101(sK2_skl(sK0_skl))
| p101(sK2_skl(sK2_skl(sK0_skl)))
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f187,f18]) ).
fof(f205,definition,
( sQ31_spl
<=> r1(sK2_skl(sK0_skl),sK2_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ27_spl
| sQ20_spl
| sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f203,f140,f205,f144,f186]) ).
fof(f209,definition,
( sQ32_spl
<=> p101(sK2_skl(sK2_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ27_spl
| sQ20_spl
| sQ32_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f204,f140,f209,f144,f186]) ).
fof(f214,plain,
( ~ sQ19_spl
| ~ sQ25_spl
| ~ p101(sK0_skl)
| p2(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f174,f141]) ).
fof(f215,plain,
( ~ sQ25_spl
| ~ p101(sK2_skl(sK0_skl))
| p2(sK2_skl(sK0_skl))
| ~ r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f174,f5]) ).
fof(f216,definition,
( sQ33_spl
<=> p2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ19_spl
| ~ sQ25_spl
| ~ sQ1_spl
| sQ33_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f214,f130,f216,f35,f173,f140]) ).
fof(f220,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f215,f140,f42,f144,f173]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ7_spl
| sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| sQ25_spl
| sQ27_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL675+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 00:51:36 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.07/0.38 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.07/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.46 % Elapsed time: 0.092816 seconds
% 0.12/0.46 % CPU time: 0.091781 seconds
% 0.12/0.46 % Total memory used: 2.565 MB
% 0.12/0.46 % Net memory used: 2.504 MB
%------------------------------------------------------------------------------