%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN548+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 : Fri Sep 25 03:40:46 PM UTC 2026
% Result : Theorem 31.66s 11.04s
% Output : CNFRefutation 31.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of formulae : 174 ( 5 unt; 1 def)
% Number of atoms : 769 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 850 ( 366 ~; 426 |; 36 &)
% ( 3 <=>; 16 =>; 0 <=; 3 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 254 ( 0 sgn 236 !; 18 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : reachable(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_reachable) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( reachable(X1,X2)
& reachable(X0,X1) )
=> reachable(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_reachable) ).
fof(f3,conjecture,
? [X0] :
( ! [X1] :
( reachable(X0,X1)
=> ( ! [X2] :
( reachable(X1,X2)
=> ( ! [X3] :
( reachable(X2,X3)
=> q(X3) )
| p(X2) ) )
<=> ( ! [X4] :
( reachable(X1,X4)
=> q(X4) )
| ! [X4] :
( reachable(X1,X4)
=> p(X4) ) ) ) )
& reachable(initial_world,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( reachable(X0,X1)
=> ( ! [X2] :
( reachable(X1,X2)
=> ( ! [X3] :
( reachable(X2,X3)
=> q(X3) )
| p(X2) ) )
<=> ( ! [X4] :
( reachable(X1,X4)
=> q(X4) )
| ! [X4] :
( reachable(X1,X4)
=> p(X4) ) ) ) )
& reachable(initial_world,X0) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ? [X0] :
( ! [X1] :
( reachable(X0,X1)
=> ( ! [X2] :
( reachable(X1,X2)
=> ( ! [X3] :
( reachable(X2,X3)
=> q(X3) )
| p(X2) ) )
<=> ( ! [X5] :
( reachable(X1,X5)
=> q(X5) )
| ! [X4] :
( reachable(X1,X4)
=> p(X4) ) ) ) )
& reachable(initial_world,X0) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X0,X1,X2] :
( ~ reachable(X1,X2)
| ~ reachable(X0,X1)
| reachable(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ~ reachable(X1,X2)
| ~ reachable(X0,X1)
| reachable(X0,X2) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( reachable(X0,X1)
& ( ! [X2] :
( ~ reachable(X1,X2)
| ! [X3] :
( ~ reachable(X2,X3)
| q(X3) )
| p(X2) )
<~> ( ! [X5] :
( ~ reachable(X1,X5)
| q(X5) )
| ! [X4] :
( ~ reachable(X1,X4)
| p(X4) ) ) ) )
| ~ reachable(initial_world,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0] :
( ? [X1] :
( reachable(X0,X1)
& ( ! [X2] :
( ~ reachable(X1,X2)
| ! [X3] :
( ~ reachable(X2,X3)
| q(X3) )
| p(X2) )
<~> ( ! [X5] :
( ~ reachable(X1,X5)
| q(X5) )
| ! [X4] :
( ~ reachable(X1,X4)
| p(X4) ) ) ) )
| ~ reachable(initial_world,X0) ),
inference(flattening,[],[f8]) ).
fof(f16,plain,
! [X0] :
( ( reachable(X0,sK5(X0))
& sP0(sK5(X0)) )
| ~ reachable(initial_world,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f11]) ).
fof(f17,plain,
! [X0] : reachable(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ reachable(X1,X2)
| ~ reachable(X0,X1)
| reachable(X0,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
! [X0] :
( reachable(X0,sK5(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] :
( sP0(sK5(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_49,plain,
! [X0: $i] : reachable(X0,X0),
inference(cnf_transformation,[],[f17]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( reachable(X0,X2)
| ~ reachable(X1,X2)
| ~ reachable(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] :
( sP0(sK5(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] :
( reachable(X0,sK5(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_70,plain,
reachable(initial_world,initial_world),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_90,plain,
! [X0: $i] :
( sP0(sK5(X0))
| ~ reachable(initial_world,X0) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i] :
( reachable(X0,X1)
| ~ reachable(initial_world,X0)
| ~ reachable(sK5(X0),X1) ),
inference(superposition,[status(thm)],[c_69,c_50]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i] :
( reachable(sK5(X0),X2)
| ~ reachable(X1,X2)
| ~ reachable(sK5(X0),X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i] :
( reachable(sK5(X0),X1)
| ~ reachable(sK3(sK5(X0)),X1)
| ~ reachable(sK5(X0),sK3(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_481]) ).
tcf(c_1168,plain,
! [X0: $i] :
( reachable(sK5(X0),sK4(sK5(X0)))
| ~ reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(sK3(sK5(X0)),sK4(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_727]) ).
tcf(c_10476,plain,
! [X0: $i,X1: $i] :
( reachable(X0,X1)
| ~ reachable(initial_world,X0)
| ~ reachable(sK5(X0),X1) ),
inference(superposition,[status(thm)],[c_69,c_50]) ).
fof(f10,definition,
! [X1] :
( ~ sP0(X1)
| ( ! [X2] :
( ~ reachable(X1,X2)
| ! [X3] :
( ~ reachable(X2,X3)
| q(X3) )
| p(X2) )
<~> ( ! [X5] :
( ~ reachable(X1,X5)
| q(X5) )
| ! [X4] :
( ~ reachable(X1,X4)
| p(X4) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,plain,
! [X0] :
( ? [X1] :
( reachable(X0,X1)
& sP0(X1) )
| ~ reachable(initial_world,X0) ),
inference(definition_folding,[],[f9,f10]) ).
fof(f12,plain,
! [X1] :
( ~ sP0(X1)
| ( ( ! [X2] :
( ~ reachable(X1,X2)
| ! [X3] :
( ~ reachable(X2,X3)
| q(X3) )
| p(X2) )
| ! [X5] :
( ~ reachable(X1,X5)
| q(X5) )
| ! [X4] :
( ~ reachable(X1,X4)
| p(X4) ) )
& ( ? [X2] :
( reachable(X1,X2)
& ? [X3] :
( reachable(X2,X3)
& ~ q(X3) )
& ~ p(X2) )
| ( ? [X5] :
( reachable(X1,X5)
& ~ q(X5) )
& ? [X4] :
( reachable(X1,X4)
& ~ p(X4) ) ) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X1] :
( ~ sP0(X1)
| ( ( ! [X2] :
( ~ reachable(X1,X2)
| ! [X3] :
( ~ reachable(X2,X3)
| q(X3) )
| p(X2) )
| ! [X5] :
( ~ reachable(X1,X5)
| q(X5) )
| ! [X4] :
( ~ reachable(X1,X4)
| p(X4) ) )
& ( ? [X2] :
( reachable(X1,X2)
& ? [X3] :
( reachable(X2,X3)
& ~ q(X3) )
& ~ p(X2) )
| ( ? [X5] :
( reachable(X1,X5)
& ~ q(X5) )
& ? [X4] :
( reachable(X1,X4)
& ~ p(X4) ) ) ) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ sP0(X0)
| ( ( ! [X7] :
( ~ reachable(X0,X7)
| ! [X8] :
( ~ reachable(X7,X8)
| q(X8) )
| p(X7) )
| ! [X6] :
( ~ reachable(X0,X6)
| q(X6) )
| ! [X5] :
( ~ reachable(X0,X5)
| p(X5) ) )
& ( ? [X3] :
( reachable(X0,X3)
& ? [X4] :
( reachable(X3,X4)
& ~ q(X4) )
& ~ p(X3) )
| ( ? [X2] :
( reachable(X0,X2)
& ~ q(X2) )
& ? [X1] :
( reachable(X0,X1)
& ~ p(X1) ) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ sP0(X0)
| ( ( ! [X7] :
( ~ reachable(X0,X7)
| ! [X8] :
( ~ reachable(X7,X8)
| q(X8) )
| p(X7) )
| ! [X6] :
( ~ reachable(X0,X6)
| q(X6) )
| ! [X5] :
( ~ reachable(X0,X5)
| p(X5) ) )
& ( ( reachable(X0,sK3(X0))
& reachable(sK3(X0),sK4(X0))
& ~ q(sK4(X0))
& ~ p(sK3(X0)) )
| ( reachable(X0,sK2(X0))
& ~ q(sK2(X0))
& reachable(X0,sK1(X0))
& ~ p(sK1(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f14]) ).
fof(f19,plain,
! [X0,X8,X6,X7,X5] :
( ~ sP0(X0)
| ~ reachable(X0,X7)
| ~ reachable(X7,X8)
| q(X8)
| p(X7)
| ~ reachable(X0,X6)
| q(X6)
| ~ reachable(X0,X5)
| p(X5) ),
inference(cnf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_53,plain,
! [X0: $i] :
( reachable(sK3(X0),sK4(X0))
| ~ sP0(X0)
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_54,plain,
! [X0: $i] :
( reachable(X0,sK3(X0))
| ~ sP0(X0)
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_55,plain,
! [X0: $i] :
( reachable(X0,sK1(X0))
| ~ sP0(X0)
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_56,plain,
! [X0: $i] :
( reachable(X0,sK1(X0))
| ~ sP0(X0)
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_57,plain,
! [X0: $i] :
( reachable(X0,sK1(X0))
| reachable(sK3(X0),sK4(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_58,plain,
! [X0: $i] :
( reachable(X0,sK3(X0))
| reachable(X0,sK1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ q(sK2(X0))
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_60,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ q(sK2(X0))
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_61,plain,
! [X0: $i] :
( reachable(sK3(X0),sK4(X0))
| ~ sP0(X0)
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_62,plain,
! [X0: $i] :
( reachable(X0,sK3(X0))
| ~ sP0(X0)
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_63,plain,
! [X0: $i] :
( reachable(X0,sK2(X0))
| ~ sP0(X0)
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_64,plain,
! [X0: $i] :
( reachable(X0,sK2(X0))
| ~ sP0(X0)
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_65,plain,
! [X0: $i] :
( reachable(X0,sK2(X0))
| reachable(sK3(X0),sK4(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_66,plain,
! [X0: $i] :
( reachable(X0,sK2(X0))
| reachable(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( q(X4)
| q(X2)
| p(X3)
| p(X1)
| ~ sP0(X0)
| ~ reachable(X3,X4)
| ~ reachable(X0,X3)
| ~ reachable(X0,X2)
| ~ reachable(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( q(X4)
| q(X3)
| p(X2)
| p(X1)
| ~ reachable(initial_world,X0)
| ~ reachable(X1,X4)
| ~ reachable(sK5(X0),X3)
| ~ reachable(sK5(X0),X2)
| ~ reachable(sK5(X0),X1) ),
inference(resolution,[status(thm)],[c_67,c_90]) ).
tcf(c_127,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[c_66,c_90]) ).
tcf(c_138,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| reachable(sK3(sK5(X0)),sK4(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[c_65,c_90]) ).
tcf(c_149,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK4(sK5(X0))) ),
inference(resolution,[status(thm)],[c_64,c_90]) ).
tcf(c_160,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(resolution,[status(thm)],[c_63,c_90]) ).
tcf(c_171,plain,
! [X0: $i] :
( reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(resolution,[status(thm)],[c_62,c_90]) ).
tcf(c_182,plain,
! [X0: $i] :
( reachable(sK3(sK5(X0)),sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(resolution,[status(thm)],[c_61,c_90]) ).
tcf(c_193,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0)))
| ~ q(sK4(sK5(X0))) ),
inference(resolution,[status(thm)],[c_60,c_90]) ).
tcf(c_204,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0)))
| ~ p(sK3(sK5(X0))) ),
inference(resolution,[status(thm)],[c_59,c_90]) ).
tcf(c_215,plain,
! [X0: $i] :
( reachable(sK5(X0),sK3(sK5(X0)))
| reachable(sK5(X0),sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[c_58,c_90]) ).
tcf(c_226,plain,
! [X0: $i] :
( reachable(sK5(X0),sK1(sK5(X0)))
| reachable(sK3(sK5(X0)),sK4(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(resolution,[status(thm)],[c_57,c_90]) ).
tcf(c_237,plain,
! [X0: $i] :
( reachable(sK5(X0),sK1(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK4(sK5(X0))) ),
inference(resolution,[status(thm)],[c_56,c_90]) ).
tcf(c_248,plain,
! [X0: $i] :
( reachable(sK5(X0),sK1(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(resolution,[status(thm)],[c_55,c_90]) ).
tcf(c_259,plain,
! [X0: $i] :
( reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(resolution,[status(thm)],[c_54,c_90]) ).
tcf(c_270,plain,
! [X0: $i] :
( reachable(sK3(sK5(X0)),sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(resolution,[status(thm)],[c_53,c_90]) ).
tcf(c_281,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ q(sK4(sK5(X0)))
| ~ p(sK1(sK5(X0))) ),
inference(resolution,[status(thm)],[c_52,c_90]) ).
tcf(c_292,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0)))
| ~ p(sK1(sK5(X0))) ),
inference(resolution,[status(thm)],[c_51,c_90]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10(X0)
| p(X1)
| ~ reachable(initial_world,X0)
| ~ reachable(sK5(X0),X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_98]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11(X0)
| q(X1)
| iPr_def_10(X0)
| ~ reachable(sK5(X0),X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_98]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12(X1)
| p(X1)
| iPr_def_11(X0)
| ~ reachable(sK5(X0),X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_98]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( iPr_def_12(X0)
| q(X1)
| ~ reachable(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] :
( iPr_def_10(X0)
| q(sK4(sK5(X1)))
| ~ iPr_def_11(X0)
| ~ reachable(sK5(X0),sK4(sK5(X1))) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_431,plain,
( iPr_def_10(initial_world)
| q(sK4(sK5(initial_world)))
| ~ iPr_def_11(initial_world)
| ~ reachable(sK5(initial_world),sK4(sK5(initial_world))) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i] :
( iPr_def_10(X0)
| q(sK2(sK5(X1)))
| ~ iPr_def_11(X0)
| ~ reachable(sK5(X0),sK2(sK5(X1))) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_433,plain,
( iPr_def_10(initial_world)
| q(sK2(sK5(initial_world)))
| ~ iPr_def_11(initial_world)
| ~ reachable(sK5(initial_world),sK2(sK5(initial_world))) ),
inference(instantiation,[status(thm)],[c_432]) ).
tcf(c_484,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK3(sK5(X0)))
| ~ iPr_def_12(sK3(sK5(X0)))
| ~ reachable(sK5(X0),sK3(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_486,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK1(sK5(X0)))
| ~ iPr_def_12(sK1(sK5(X0)))
| ~ reachable(sK5(X0),sK1(sK5(X0))) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( reachable(sK5(X0),X1)
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0)))
| ~ reachable(sK3(sK5(X0)),X1) ),
inference(superposition,[status(thm)],[c_259,c_50]) ).
tcf(c_568,plain,
! [X0: $i] :
( p(sK3(sK5(X0)))
| ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(superposition,[status(thm)],[c_259,c_367]) ).
tcf(c_572,plain,
! [X0: $i] :
( ~ p(sK1(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_10(X0) ),
inference(global_subsumption_just,[status(thm)],[c_568,c_292,c_568]) ).
tcf(c_573,plain,
! [X0: $i] :
( ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(renaming,[status(thm)],[c_572]) ).
tcf(c_609,plain,
! [X0: $i] :
( iPr_def_10(X0)
| q(sK5(sK5(X0)))
| ~ iPr_def_11(X0)
| ~ reachable(initial_world,sK5(X0)) ),
inference(superposition,[status(thm)],[c_69,c_368]) ).
tcf(c_638,plain,
! [X0: $i] :
( p(sK1(sK5(X0)))
| ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(superposition,[status(thm)],[c_248,c_367]) ).
tcf(c_640,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK1(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK1(sK5(X0)))
| ~ p(sK3(sK5(X0))) ),
inference(superposition,[status(thm)],[c_248,c_369]) ).
tcf(c_642,plain,
! [X0: $i] :
( ~ p(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_10(X0) ),
inference(global_subsumption_just,[status(thm)],[c_638,c_292,c_568,c_638]) ).
tcf(c_643,plain,
! [X0: $i] :
( ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(renaming,[status(thm)],[c_642]) ).
tcf(c_652,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ p(sK3(sK5(X0)))
| ~ iPr_def_12(sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_640,c_248,c_292,c_486]) ).
tcf(c_653,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK1(sK5(X0)))
| ~ p(sK3(sK5(X0))) ),
inference(renaming,[status(thm)],[c_652]) ).
tcf(c_736,plain,
! [X0: $i] :
( p(sK1(sK5(X0)))
| ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0)
| ~ q(sK4(sK5(X0))) ),
inference(superposition,[status(thm)],[c_237,c_367]) ).
tcf(c_812,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK3(sK5(X0)))
| ~ q(sK2(sK5(X0))) ),
inference(superposition,[status(thm)],[c_171,c_369]) ).
tcf(c_824,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ q(sK2(sK5(X0)))
| ~ iPr_def_12(sK3(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_812,c_204,c_812]) ).
tcf(c_825,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK3(sK5(X0)))
| ~ q(sK2(sK5(X0))) ),
inference(renaming,[status(thm)],[c_824]) ).
tcf(c_990,plain,
! [X0: $i] :
( iPr_def_10(X0)
| q(sK2(sK5(X0)))
| ~ iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ q(sK4(sK5(X0))) ),
inference(superposition,[status(thm)],[c_149,c_368]) ).
tcf(c_999,plain,
! [X0: $i] :
( ~ iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ q(sK4(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_990,c_193,c_281,c_736,c_990]) ).
tcf(c_1001,plain,
( ~ iPr_def_11(initial_world)
| ~ reachable(initial_world,initial_world)
| ~ q(sK4(sK5(initial_world))) ),
inference(instantiation,[status(thm)],[c_999]) ).
tcf(c_1100,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| q(sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(superposition,[status(thm)],[c_270,c_370]) ).
tcf(c_1102,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| ~ p(sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1100,c_281,c_1100]) ).
tcf(c_1103,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(renaming,[status(thm)],[c_1102]) ).
tcf(c_1125,plain,
! [X0: $i] :
( p(sK1(sK5(X0)))
| reachable(sK5(X0),sK3(sK5(X0)))
| ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_215,c_367]) ).
tcf(c_1127,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK1(sK5(X0)))
| reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK1(sK5(X0))) ),
inference(superposition,[status(thm)],[c_215,c_369]) ).
tcf(c_1129,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ iPr_def_10(X0)
| reachable(sK5(X0),sK3(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1125,c_573,c_1125]) ).
tcf(c_1130,plain,
! [X0: $i] :
( reachable(sK5(X0),sK3(sK5(X0)))
| ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0) ),
inference(renaming,[status(thm)],[c_1129]) ).
tcf(c_1139,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ iPr_def_12(sK1(sK5(X0)))
| ~ reachable(initial_world,X0)
| reachable(sK5(X0),sK3(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1127,c_259,c_1127]) ).
tcf(c_1140,plain,
! [X0: $i] :
( iPr_def_11(X0)
| reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK1(sK5(X0))) ),
inference(renaming,[status(thm)],[c_1139]) ).
tcf(c_1188,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| q(sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(superposition,[status(thm)],[c_182,c_370]) ).
tcf(c_1190,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| ~ q(sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1188,c_193,c_1188]) ).
tcf(c_1191,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(renaming,[status(thm)],[c_1190]) ).
tcf(c_1215,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK3(sK5(X0)))
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK3(sK5(X0))) ),
inference(superposition,[status(thm)],[c_127,c_369]) ).
tcf(c_1227,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ iPr_def_12(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| reachable(sK5(X0),sK2(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1215,c_160,c_1215]) ).
tcf(c_1228,plain,
! [X0: $i] :
( iPr_def_11(X0)
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK3(sK5(X0))) ),
inference(renaming,[status(thm)],[c_1227]) ).
tcf(c_1261,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| q(sK4(sK5(X0)))
| reachable(sK5(X0),sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_226,c_370]) ).
tcf(c_1263,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| reachable(sK5(X0),sK1(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1261,c_237,c_1261]) ).
tcf(c_1264,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| reachable(sK5(X0),sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(renaming,[status(thm)],[c_1263]) ).
tcf(c_1281,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK1(sK5(X0)))
| reachable(sK5(X0),sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK1(sK5(X0))) ),
inference(superposition,[status(thm)],[c_215,c_369]) ).
tcf(c_1286,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK1(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1281,c_484,c_486,c_653,c_1103,c_1140,c_1264]) ).
tcf(c_1288,plain,
( iPr_def_11(initial_world)
| ~ reachable(initial_world,initial_world)
| ~ iPr_def_12(sK1(sK5(initial_world))) ),
inference(instantiation,[status(thm)],[c_1286]) ).
tcf(c_1313,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| q(sK4(sK5(X0)))
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_138,c_370]) ).
tcf(c_1315,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| ~ reachable(initial_world,X0)
| reachable(sK5(X0),sK2(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1313,c_149,c_1313]) ).
tcf(c_1316,plain,
! [X0: $i] :
( iPr_def_12(sK3(sK5(X0)))
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(renaming,[status(thm)],[c_1315]) ).
tcf(c_1374,plain,
! [X0: $i] :
( reachable(X0,sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(superposition,[status(thm)],[c_160,c_438]) ).
tcf(c_1428,plain,
! [X0: $i] :
( iPr_def_11(X0)
| p(sK3(sK5(X0)))
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ iPr_def_12(sK3(sK5(X0))) ),
inference(superposition,[status(thm)],[c_127,c_369]) ).
tcf(c_1436,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| reachable(sK5(X0),sK2(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1428,c_160,c_1215,c_1316]) ).
tcf(c_1437,plain,
! [X0: $i] :
( iPr_def_11(X0)
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(renaming,[status(thm)],[c_1436]) ).
tcf(c_1561,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| reachable(sK5(X0),sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK1(sK5(X0))) ),
inference(superposition,[status(thm)],[c_138,c_566]) ).
tcf(c_1563,plain,
! [X0: $i] :
( reachable(sK5(X0),sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0)))
| ~ p(sK1(sK5(X0))) ),
inference(superposition,[status(thm)],[c_182,c_566]) ).
tcf(c_1567,plain,
! [X0: $i] :
( reachable(sK5(X0),sK4(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_1563,c_171,c_182,c_1168]) ).
tcf(c_1569,plain,
( reachable(sK5(initial_world),sK4(sK5(initial_world)))
| ~ reachable(initial_world,initial_world)
| ~ q(sK2(sK5(initial_world))) ),
inference(instantiation,[status(thm)],[c_1567]) ).
tcf(c_1575,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| reachable(sK5(X0),sK4(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1561,c_127,c_138,c_1168]) ).
tcf(c_1577,plain,
( reachable(sK5(initial_world),sK2(sK5(initial_world)))
| reachable(sK5(initial_world),sK4(sK5(initial_world)))
| ~ reachable(initial_world,initial_world) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_1739,plain,
! [X0: $i] :
( iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_825,c_204,c_812,c_1191]) ).
tcf(c_1821,plain,
( iPr_def_10(initial_world)
| q(sK5(sK5(initial_world)))
| ~ iPr_def_11(initial_world)
| ~ reachable(initial_world,initial_world) ),
inference(superposition,[status(thm)],[c_69,c_609]) ).
tcf(c_1822,plain,
( iPr_def_10(initial_world)
| ~ iPr_def_11(initial_world) ),
inference(global_subsumption_just,[status(thm)],[c_1821,c_70,c_431,c_433,c_1001,c_1569,c_1577]) ).
tcf(c_1985,plain,
! [X0: $i] :
( p(sK3(sK5(X0)))
| ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_1130,c_367]) ).
tcf(c_1989,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ iPr_def_10(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1985,c_643,c_1985]) ).
tcf(c_1990,plain,
! [X0: $i] :
( ~ iPr_def_10(X0)
| ~ reachable(initial_world,X0) ),
inference(renaming,[status(thm)],[c_1989]) ).
tcf(c_1991,plain,
( ~ iPr_def_10(initial_world)
| ~ reachable(initial_world,initial_world) ),
inference(instantiation,[status(thm)],[c_1990]) ).
tcf(c_2147,plain,
! [X0: $i] :
( iPr_def_11(X0)
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1228,c_1437]) ).
tcf(c_2154,plain,
! [X0: $i] :
( iPr_def_11(X0)
| reachable(X0,sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_2147,c_438]) ).
tcf(c_3692,plain,
! [X0: $i] :
( iPr_def_12(X0)
| q(sK2(sK5(X0)))
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(superposition,[status(thm)],[c_1374,c_370]) ).
tcf(c_3709,plain,
! [X0: $i] :
( iPr_def_12(X0)
| ~ p(sK3(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3692,c_204,c_3692]) ).
tcf(c_3710,plain,
! [X0: $i] :
( iPr_def_12(X0)
| ~ reachable(initial_world,X0)
| ~ p(sK3(sK5(X0))) ),
inference(renaming,[status(thm)],[c_3709]) ).
tcf(c_4453,plain,
! [X0: $i] :
( iPr_def_10(X0)
| q(sK4(sK5(X0)))
| ~ iPr_def_11(X0)
| ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(superposition,[status(thm)],[c_1567,c_368]) ).
tcf(c_4459,plain,
! [X0: $i] :
( ~ q(sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4453,c_193,c_1739,c_1990,c_4453]) ).
tcf(c_4460,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(sK5(X0))) ),
inference(renaming,[status(thm)],[c_4459]) ).
tcf(c_4519,plain,
! [X0: $i] :
( iPr_def_10(X0)
| q(sK4(sK5(X0)))
| reachable(sK5(X0),sK2(sK5(X0)))
| ~ iPr_def_11(X0)
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_1575,c_368]) ).
tcf(c_4526,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4519,c_149,c_1437,c_1990,c_4519]) ).
tcf(c_5263,plain,
! [X0: $i] :
( iPr_def_12(X0)
| iPr_def_11(X0)
| q(sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_2154,c_370]) ).
tcf(c_5284,plain,
! [X0: $i] :
( iPr_def_12(X0)
| iPr_def_11(X0)
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5263,c_193,c_643,c_1739,c_1985,c_4453,c_5263]) ).
tcf(c_10468,plain,
! [X0: $i] :
( iPr_def_12(X0)
| q(sK5(X0))
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_69,c_370]) ).
tcf(c_10806,plain,
! [X0: $i] :
( reachable(sK5(X0),sK2(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_4526]) ).
tcf(c_10812,plain,
! [X0: $i] :
( iPr_def_10(X0)
| q(sK2(sK5(X0)))
| ~ iPr_def_11(X0)
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_10806,c_368]) ).
tcf(c_10816,plain,
! [X0: $i] :
( ~ iPr_def_11(X0)
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_10812,c_1990,c_4460,c_10812]) ).
tcf(c_10869,plain,
! [X0: $i] :
( iPr_def_12(X0)
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3710,c_5284,c_10816]) ).
tcf(c_10919,plain,
! [X0: $i] :
( ~ reachable(initial_world,X0)
| reachable(sK5(X0),sK1(sK5(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_215,c_215,c_248,c_484,c_1264,c_10816]) ).
tcf(c_10920,plain,
! [X0: $i] :
( reachable(sK5(X0),sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(renaming,[status(thm)],[c_10919]) ).
tcf(c_11125,plain,
! [X0: $i] :
( iPr_def_12(X0)
| ~ reachable(initial_world,X0) ),
inference(global_subsumption_just,[status(thm)],[c_10468,c_10869]) ).
tcf(c_11143,plain,
! [X0: $i] :
( reachable(X0,sK1(sK5(X0)))
| ~ reachable(initial_world,X0) ),
inference(superposition,[status(thm)],[c_10920,c_10476]) ).
tcf(c_11495,plain,
( iPr_def_12(sK1(sK5(initial_world)))
| ~ reachable(initial_world,initial_world) ),
inference(superposition,[status(thm)],[c_11143,c_11125]) ).
tcf(c_11502,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11495,c_1991,c_1822,c_1288,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN548+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/5.43 % Computer : n002.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Fri Sep 25 01:46:13 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/5.50 Running first-order theorem proving
% 0.21/5.50 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/5.51
% 0.21/5.51 % ======== iProver multi-core TPTP/SMT =========
% 0.21/5.51
% 0.21/5.51 % Detected problem language: tptp
% 0.21/5.53 % Proving...
% 31.66/11.04 % SZS status Started for theBenchmark.p
% 31.66/11.04 % SZS status Theorem for theBenchmark.p
% 31.66/11.04
% 31.66/11.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.66/11.04
% 31.66/11.04 % ------ iProver source info
% 31.66/11.04
% 31.66/11.04 % git: date: 2026-07-19 20:42:38 +0200
% 31.66/11.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.66/11.04 % git: non_committed_changes: false
% 31.66/11.04
% 31.66/11.04 % ------ Parsing...
% 31.66/11.04 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.66/11.04
% 31.66/11.04 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 31.66/11.04
% 31.66/11.04 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 3 0s scvd_e snvd_s sp: 0 0s snvd_e
% 31.66/11.04 % ------ Proving...
% 31.66/11.04 % ------ Problem Properties
% 31.66/11.04
% 31.66/11.04 %
% 31.66/11.04 % clauses 23
% 31.66/11.04 % conjectures 1
% 31.66/11.04 % EPR 3
% 31.66/11.04 % Horn 16
% 31.66/11.04 % unary 1
% 31.66/11.04 % binary 1
% 31.66/11.04 % lits 69
% 31.66/11.04 % lits eq 0
% 31.66/11.04 % fd_pure 0
% 31.66/11.04 % fd_pseudo 0
% 31.66/11.04 % fd_cond 0
% 31.66/11.04 % fd_pseudo_cond 0
% 31.66/11.04 % AC symbols 0
% 31.66/11.04
% 31.66/11.04 % ------ Input Options Time Limit: Unbounded
% 31.66/11.04
% 31.66/11.04
% 31.66/11.04 % ------
% 31.66/11.04 % Current options:
% 31.66/11.04 % ------
% 31.66/11.04
% 31.66/11.04
% 31.66/11.04 %
% 31.66/11.04
% 31.66/11.04 % ------ Proving...
% 31.66/11.04 %
% 31.66/11.04
% 31.66/11.04 % SZS status Theorem for theBenchmark.p
% 31.66/11.04
% 31.66/11.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.66/11.04
% 31.66/11.04
%------------------------------------------------------------------------------