%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:16:46 PM UTC 2026
% Result : Theorem 0.13s 0.57s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 3 unt; 11 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 524 ( 246 ~; 233 |; 24 &)
% ( 13 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 127 ( 112 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : reachable(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ( reachable(Y,Z)
& reachable(X,Y) )
=> reachable(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
( ? [X] :
( ! [Y] :
( reachable(X,Y)
=> p(Y) )
& reachable(initial_world,X) )
<=> ? [X] :
( ! [Y] :
( reachable(X,Y)
=> ? [Z] :
( ! [W] :
( reachable(Z,W)
=> p(W) )
& reachable(Y,Z) ) )
& reachable(initial_world,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ( ? [X] :
( ! [Y] :
( reachable(X,Y)
=> p(Y) )
& reachable(initial_world,X) )
<=> ? [X] :
( ! [Y] :
( reachable(X,Y)
=> ? [Z] :
( ! [W] :
( reachable(Z,W)
=> p(W) )
& reachable(Y,Z) ) )
& reachable(initial_world,X) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : reachable(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X,Y,Z] :
( reachable(X,Z)
| ~ reachable(Y,Z)
| ~ reachable(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X,Z] :
( reachable(X,Z)
| ! [Y] :
( ~ reachable(Y,Z)
| ~ reachable(X,Y) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( reachable(X0,X2)
| ~ reachable(X1,X2)
| ~ reachable(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
( ? [X] :
( ! [Y] :
( p(Y)
| ~ reachable(X,Y) )
& reachable(initial_world,X) )
<~> ? [X] :
( ! [Y] :
( ? [Z] :
( ! [W] :
( p(W)
| ~ reachable(Z,W) )
& reachable(Y,Z) )
| ~ reachable(X,Y) )
& reachable(initial_world,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ( ! [X] :
( ? [Y] :
( ! [Z] :
( ? [W] :
( ~ p(W)
& reachable(Z,W) )
| ~ reachable(Y,Z) )
& reachable(X,Y) )
| ~ reachable(initial_world,X) )
| ! [X] :
( ? [Y] :
( ~ p(Y)
& reachable(X,Y) )
| ~ reachable(initial_world,X) ) )
& ( ? [X] :
( ! [Y] :
( ? [Z] :
( ! [W] :
( p(W)
| ~ reachable(Z,W) )
& reachable(Y,Z) )
| ~ reachable(X,Y) )
& reachable(initial_world,X) )
| ? [X] :
( ! [Y] :
( p(Y)
| ~ reachable(X,Y) )
& reachable(initial_world,X) ) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
( ( ! [X] :
( ( ! [Z] :
( ( ~ p(sK5_skl(Z,X))
& reachable(Z,sK5_skl(Z,X)) )
| ~ reachable(sK4_skl(X),Z) )
& reachable(X,sK4_skl(X)) )
| ~ reachable(initial_world,X) )
| ! [X] :
( ( ~ p(sK3_skl(X))
& reachable(X,sK3_skl(X)) )
| ~ reachable(initial_world,X) ) )
& ( ( ! [Y] :
( ( ! [W] :
( p(W)
| ~ reachable(sK2_skl(Y),W) )
& reachable(Y,sK2_skl(Y)) )
| ~ reachable(sK1_skl,Y) )
& reachable(initial_world,sK1_skl) )
| ( ! [Y] :
( p(Y)
| ~ reachable(sK0_skl,Y) )
& reachable(initial_world,sK0_skl) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(Z,sK2_skl(Y)),skolemize(Y,sK3_skl(X)),skolemize(Y,sK4_skl(X)),skolemize(W,sK5_skl(Z,X))],[f10]) ).
fof(f12,plain,
( reachable(initial_world,sK1_skl)
| reachable(initial_world,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0] :
( reachable(X0,sK2_skl(X0))
| ~ reachable(sK1_skl,X0)
| reachable(initial_world,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( p(X1)
| ~ reachable(sK2_skl(X0),X1)
| ~ reachable(sK1_skl,X0)
| reachable(initial_world,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [X0] :
( reachable(initial_world,sK1_skl)
| p(X0)
| ~ reachable(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f16,plain,
! [X0,X1] :
( reachable(X1,sK2_skl(X1))
| ~ reachable(sK1_skl,X1)
| p(X0)
| ~ reachable(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f17,plain,
! [X0,X1,X2] :
( p(X2)
| ~ reachable(sK2_skl(X1),X2)
| ~ reachable(sK1_skl,X1)
| p(X0)
| ~ reachable(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f18,plain,
! [X0,X1] :
( reachable(X1,sK4_skl(X1))
| ~ reachable(initial_world,X1)
| reachable(X0,sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
! [X0,X1,X2] :
( reachable(X2,sK5_skl(X2,X1))
| ~ reachable(sK4_skl(X1),X2)
| ~ reachable(initial_world,X1)
| reachable(X0,sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ p(sK5_skl(X2,X1))
| ~ reachable(sK4_skl(X1),X2)
| ~ reachable(initial_world,X1)
| reachable(X0,sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f21,plain,
! [X0,X1] :
( reachable(X1,sK4_skl(X1))
| ~ reachable(initial_world,X1)
| ~ p(sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f22,plain,
! [X0,X1,X2] :
( reachable(X2,sK5_skl(X2,X1))
| ~ reachable(sK4_skl(X1),X2)
| ~ reachable(initial_world,X1)
| ~ p(sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ p(sK5_skl(X2,X1))
| ~ reachable(sK4_skl(X1),X2)
| ~ reachable(initial_world,X1)
| ~ p(sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,definition,
( sQ0_spl
<=> reachable(initial_world,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f27,definition,
( sQ1_spl
<=> reachable(initial_world,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( ~ sQ1_spl
| reachable(initial_world,sK1_skl) ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f24,f27]) ).
fof(f31,definition,
! [X0] :
( sQ2_spl
<=> ( reachable(X0,sK2_skl(X0))
| ~ reachable(sK1_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f32,plain,
! [X0] :
( ~ sQ2_spl
| reachable(X0,sK2_skl(X0))
| ~ reachable(sK1_skl,X0) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f24,f31]) ).
fof(f35,definition,
! [X0,X1] :
( sQ3_spl
<=> ( p(X1)
| ~ reachable(sK2_skl(X0),X1)
| ~ reachable(sK1_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sQ3_spl
| p(X1)
| ~ reachable(sK2_skl(X0),X1)
| ~ reachable(sK1_skl,X0) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f24,f35]) ).
fof(f39,definition,
! [X0] :
( sQ4_spl
<=> ( p(X0)
| ~ reachable(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f40,plain,
! [X0] :
( ~ sQ4_spl
| p(X0)
| ~ reachable(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f15,f39,f27]) ).
fof(f43,plain,
( sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f16,f39,f31]) ).
fof(f44,plain,
( sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f17,f39,f35]) ).
fof(f45,definition,
! [X0] :
( sQ5_spl
<=> ( reachable(X0,sK3_skl(X0))
| ~ reachable(initial_world,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f46,plain,
! [X0] :
( ~ sQ5_spl
| reachable(X0,sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,definition,
! [X1] :
( sQ6_spl
<=> ( reachable(X1,sK4_skl(X1))
| ~ reachable(initial_world,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f49,plain,
! [X0] :
( ~ sQ6_spl
| reachable(X0,sK4_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f18,f45,f48]) ).
fof(f52,definition,
! [X1,X2] :
( sQ7_spl
<=> ( reachable(X2,sK5_skl(X2,X1))
| ~ reachable(sK4_skl(X1),X2)
| ~ reachable(initial_world,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f53,plain,
! [X0,X1] :
( ~ sQ7_spl
| reachable(X1,sK5_skl(X1,X0))
| ~ reachable(sK4_skl(X0),X1)
| ~ reachable(initial_world,X0) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f19,f45,f52]) ).
fof(f56,definition,
! [X1,X2] :
( sQ8_spl
<=> ( ~ p(sK5_skl(X2,X1))
| ~ reachable(sK4_skl(X1),X2)
| ~ reachable(initial_world,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ p(sK5_skl(X1,X0))
| ~ reachable(sK4_skl(X0),X1)
| ~ reachable(initial_world,X0) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( sQ8_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f20,f45,f56]) ).
fof(f60,definition,
! [X0] :
( sQ9_spl
<=> ( ~ p(sK3_skl(X0))
| ~ reachable(initial_world,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f61,plain,
! [X0] :
( ~ sQ9_spl
| ~ p(sK3_skl(X0))
| ~ reachable(initial_world,X0) ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f21,f60,f48]) ).
fof(f64,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f22,f60,f52]) ).
fof(f65,plain,
( sQ8_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f23,f60,f56]) ).
fof(f66,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ4_spl
| ~ reachable(initial_world,X0)
| ~ reachable(sK0_skl,sK3_skl(X0)) ),
inference(resolution,[status(thm)],[f40,f61]) ).
fof(f67,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ reachable(initial_world,sK0_skl)
| ~ reachable(initial_world,sK0_skl) ),
inference(resolution,[status(thm)],[f66,f46]) ).
fof(f69,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f24,f39,f60,f45]) ).
fof(f73,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(initial_world,X1)
| ~ reachable(sK2_skl(X0),sK3_skl(X1))
| ~ reachable(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f36,f61]) ).
fof(f74,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(initial_world,sK2_skl(X0))
| ~ reachable(initial_world,sK2_skl(X0))
| ~ reachable(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f73,f46]) ).
fof(f76,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(initial_world,sK2_skl(X0))
| ~ reachable(sK1_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f74]) ).
fof(f80,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(X1,sK2_skl(X0))
| ~ reachable(initial_world,X1)
| ~ reachable(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f76,f8]) ).
fof(f85,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ4_spl
| ~ reachable(sK4_skl(X1),X0)
| ~ reachable(initial_world,X1)
| ~ reachable(sK0_skl,sK5_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f40,f57]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ4_spl
| ~ reachable(X2,sK5_skl(X1,X0))
| ~ reachable(sK0_skl,X2)
| ~ reachable(sK4_skl(X0),X1)
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[f85,f8]) ).
fof(f93,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ reachable(sK4_skl(X0),X1)
| ~ reachable(initial_world,X0)
| ~ reachable(sK0_skl,X1)
| ~ reachable(sK4_skl(X0),X1)
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[f87,f53]) ).
fof(f96,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ reachable(sK0_skl,X1)
| ~ reachable(sK4_skl(X0),X1)
| ~ reachable(initial_world,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f93]) ).
fof(f98,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ reachable(initial_world,sK0_skl)
| ~ reachable(sK4_skl(X0),sK4_skl(sK0_skl))
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[f96,f49]) ).
fof(f101,definition,
! [X0] :
( sQ11_spl
<=> ( ~ reachable(sK4_skl(X0),sK4_skl(sK0_skl))
| ~ reachable(initial_world,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f102,plain,
! [X0] :
( ~ sQ11_spl
| ~ reachable(sK4_skl(X0),sK4_skl(sK0_skl))
| ~ reachable(initial_world,X0) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ0_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f98,f101,f24,f39,f56,f52,f48]) ).
fof(f124,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(sK1_skl,X0)
| ~ reachable(initial_world,X0)
| ~ reachable(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f80,f32]) ).
fof(f127,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(initial_world,X0)
| ~ reachable(sK1_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f124]) ).
fof(f131,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ reachable(initial_world,sK1_skl) ),
inference(resolution,[status(thm)],[f127,f5]) ).
fof(f143,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f28]) ).
fof(f144,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f149,plain,
( ~ sQ11_spl
| ~ reachable(initial_world,sK0_skl) ),
inference(resolution,[status(thm)],[f102,f5]) ).
fof(f150,plain,
( ~ sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f149,f24,f101]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ3_spl
| ~ reachable(sK4_skl(X2),X1)
| ~ reachable(initial_world,X2)
| ~ reachable(sK2_skl(X0),sK5_skl(X1,X2))
| ~ reachable(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f36,f57]) ).
fof(f155,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ reachable(sK4_skl(X1),sK2_skl(X0))
| ~ reachable(initial_world,X1)
| ~ reachable(sK4_skl(X1),sK2_skl(X0))
| ~ reachable(initial_world,X1)
| ~ reachable(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f151,f53]) ).
fof(f157,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ reachable(sK4_skl(X1),sK2_skl(X0))
| ~ reachable(initial_world,X1)
| ~ reachable(sK1_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f155]) ).
fof(f160,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ reachable(sK1_skl,sK4_skl(X0))
| ~ reachable(initial_world,X0)
| ~ reachable(sK1_skl,sK4_skl(X0)) ),
inference(resolution,[status(thm)],[f157,f32]) ).
fof(f162,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ reachable(initial_world,X0)
| ~ reachable(sK1_skl,sK4_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f160]) ).
fof(f167,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ reachable(initial_world,sK1_skl)
| ~ reachable(initial_world,sK1_skl) ),
inference(resolution,[status(thm)],[f162,f49]) ).
fof(f169,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f167,f27,f35,f56,f52,f31,f48]) ).
fof(f170,plain,
$false,
inference(sat_refutation,[status(thm)],[f30,f34,f38,f42,f43,f44,f51,f55,f59,f63,f64,f65,f69,f104,f144,f150,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.53 % Computer : n007.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8046.5625MB
% 0.11/0.53 % OS : Linux 6.8.0-71-generic
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Mon Sep 21 11:06:21 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.54 % Drodi V4.1.1
% 0.13/0.57 % Refutation found
% 0.13/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.58 % Elapsed time: 0.038152 seconds
% 0.13/0.58 % CPU time: 0.119810 seconds
% 0.13/0.58 % Total memory used: 12.177 MB
% 0.13/0.58 % Net memory used: 11.852 MB
%------------------------------------------------------------------------------