%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS143+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 01:54:15 PM UTC 2026
% Result : Theorem 1.72s 1.27s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 107 ( 14 unt; 1 def)
% Number of atoms : 386 ( 47 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 474 ( 197 ~; 230 |; 32 &)
% ( 4 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 144 ( 0 sgn 124 !; 20 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cc(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
! [X0] :
( cc(X0)
=> ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,conjecture,
( ! [X0] :
( cc(X0)
=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X1] : rp(X0,X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f13,negated_conjecture,
~ ( ! [X0] :
( cc(X0)
=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X1] : rp(X0,X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
~ ( ! [X2] :
( cc(X2)
=> ( ! [X4,X5] :
( ( rp(X2,X5)
& rp(X2,X4) )
=> X4 = X5 )
& ? [X3] : rp(X2,X3) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f13]) ).
fof(f29,plain,
! [X0] :
( ~ cc(X0)
| ? [X1] : rp(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] :
( ~ cc(X0)
| ! [X1,X2] :
( ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0] :
( ~ cc(X0)
| ! [X1,X2] :
( ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2 ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
( ? [X2] :
( cc(X2)
& ( ? [X4,X5] :
( rp(X2,X5)
& rp(X2,X4)
& X4 != X5 )
| ! [X3] : ~ rp(X2,X3) ) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
( ? [X2] :
( cc(X2)
& ( ? [X4,X5] :
( rp(X2,X5)
& rp(X2,X4)
& X4 != X5 )
| ! [X3] : ~ rp(X2,X3) ) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0] :
( ~ cc(X0)
| rp(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f29]) ).
fof(f36,plain,
( ? [X2] :
( cc(X2)
& ( ? [X4,X5] :
( rp(X2,X5)
& rp(X2,X4)
& X4 != X5 )
| ! [X3] : ~ rp(X2,X3) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f37,plain,
( ( cc(sK3)
& ( ( rp(sK3,sK5)
& rp(sK3,sK4)
& sK4 != sK5 )
| ! [X3] : ~ rp(sK3,X3) ) )
| ( ( xsd_string(sK2)
| ~ xsd_integer(sK2) )
& ( ~ xsd_string(sK2)
| xsd_integer(sK2) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f36]) ).
fof(f45,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f48,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f49,plain,
! [X0] :
( ~ cc(X0)
| rp(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ cc(X0)
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f51,plain,
( cc(sK3)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f52,plain,
! [X3] :
( rp(sK3,sK5)
| ~ rp(sK3,X3)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
! [X3] :
( rp(sK3,sK4)
| ~ rp(sK3,X3)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X3] :
( sK4 != sK5
| ~ rp(sK3,X3)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
( cc(sK3)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X3] :
( rp(sK3,sK5)
| ~ rp(sK3,X3)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f57,plain,
! [X3] :
( rp(sK3,sK4)
| ~ rp(sK3,X3)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,plain,
! [X3] :
( sK4 != sK5
| ~ rp(sK3,X3)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f45]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_53,plain,
! [X0: $i] :
( rp(X0,sK0(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cc(X0)
| ~ rp(X0,X2)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK2)
| cowlNothing(sK1)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1)
| ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK2)
| cowlNothing(sK1)
| rp(sK3,sK4)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1)
| ~ rp(sK3,X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK2)
| cowlNothing(sK1)
| rp(sK3,sK5)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1)
| ~ rp(sK3,X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_58,negated_conjecture,
( cc(sK3)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] :
( xsd_string(sK2)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1)
| ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( xsd_string(sK2)
| cowlNothing(sK1)
| rp(sK3,sK4)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1)
| ~ rp(sK3,X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] :
( xsd_string(sK2)
| cowlNothing(sK1)
| rp(sK3,sK5)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1)
| ~ rp(sK3,X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_62,negated_conjecture,
( cc(sK3)
| xsd_string(sK2)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_63,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_64,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_75,negated_conjecture,
( cc(sK3)
| xsd_string(sK2)
| ~ xsd_integer(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_63,c_64,c_62]) ).
tcf(c_77,negated_conjecture,
( cc(sK3)
| xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_63,c_64,c_58]) ).
tcf(c_79,plain,
! [X0: $i] :
( xsd_string(sK2)
| ~ rp(sK3,X0)
| ~ xsd_integer(sK2)
| rp(sK3,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_63,c_64,c_61]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] :
( xsd_string(sK2)
| rp(sK3,sK5)
| ~ xsd_integer(sK2)
| ~ rp(sK3,X0) ),
inference(renaming,[status(thm)],[c_79]) ).
tcf(c_82,plain,
! [X0: $i] :
( xsd_string(sK2)
| ~ rp(sK3,X0)
| ~ xsd_integer(sK2)
| rp(sK3,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_63,c_64,c_60]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( xsd_string(sK2)
| rp(sK3,sK4)
| ~ xsd_integer(sK2)
| ~ rp(sK3,X0) ),
inference(renaming,[status(thm)],[c_82]) ).
tcf(c_85,plain,
! [X0: $i] :
( xsd_integer(sK2)
| ~ rp(sK3,X0)
| ~ xsd_string(sK2)
| rp(sK3,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_63,c_64,c_57]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK2)
| rp(sK3,sK5)
| ~ xsd_string(sK2)
| ~ rp(sK3,X0) ),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_88,plain,
! [X0: $i] :
( xsd_integer(sK2)
| ~ rp(sK3,X0)
| ~ xsd_string(sK2)
| rp(sK3,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_63,c_64,c_56]) ).
tcf(c_89,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK2)
| rp(sK3,sK4)
| ~ xsd_string(sK2)
| ~ rp(sK3,X0) ),
inference(renaming,[status(thm)],[c_88]) ).
tcf(c_91,plain,
! [X0: $i] :
( xsd_string(sK2)
| ~ rp(sK3,X0)
| ( sK4 != sK5 )
| ~ xsd_integer(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_63,c_64,c_59]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( xsd_string(sK2)
| ~ xsd_integer(sK2)
| ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_94,plain,
! [X0: $i] :
( xsd_integer(sK2)
| ~ rp(sK3,X0)
| ( sK4 != sK5 )
| ~ xsd_string(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_63,c_64,c_55]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK2)
| ~ xsd_string(sK2)
| ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(renaming,[status(thm)],[c_94]) ).
tcf(c_97,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_98,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_97]) ).
tcf(c_99,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_100,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_99]) ).
tcf(c_101,plain,
! [X0: $i] :
( rp(X0,sK0(X0))
| ~ cc(X0) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_134,plain,
( cc(sK3)
| xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_100]) ).
tcf(c_139,plain,
( cc(sK3)
| xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_100]) ).
tcf(c_140,plain,
! [X0: $i] :
( xsd_string(sK2)
| rp(sK3,sK4)
| ~ rp(sK3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_83,c_100]) ).
tcf(c_141,plain,
! [X0: $i] :
( xsd_string(sK2)
| rp(sK3,sK5)
| ~ rp(sK3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_100]) ).
tcf(c_142,plain,
! [X0: $i] :
( xsd_string(sK2)
| ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_100]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i,X2: $i] :
( xsd_string(sK2)
| ( X1 = X2 )
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_139]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] :
( xsd_string(sK2)
| ( X0 = X1 )
| ~ rp(sK3,X1)
| ~ rp(sK3,X0) ),
inference(unflattening,[status(thm)],[c_278]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i] :
( xsd_integer(sK2)
| ( X1 = X2 )
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_134]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( xsd_integer(sK2)
| ( X0 = X1 )
| ~ rp(sK3,X1)
| ~ rp(sK3,X0) ),
inference(unflattening,[status(thm)],[c_293]) ).
tcf(c_308,plain,
! [X0: $i] :
( xsd_string(sK2)
| rp(X0,sK0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_139]) ).
tcf(c_309,plain,
( xsd_string(sK2)
| rp(sK3,sK0(sK3)) ),
inference(unflattening,[status(thm)],[c_308]) ).
tcf(c_316,plain,
! [X0: $i] :
( xsd_integer(sK2)
| rp(X0,sK0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_134]) ).
tcf(c_317,plain,
( xsd_integer(sK2)
| rp(sK3,sK0(sK3)) ),
inference(unflattening,[status(thm)],[c_316]) ).
tcf(c_338,plain,
! [X0: $i] :
( rp(sK3,sK0(sK3))
| ~ xsd_integer(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_309]) ).
tcf(c_339,plain,
( rp(sK3,sK0(sK3))
| ~ xsd_integer(sK2) ),
inference(unflattening,[status(thm)],[c_338]) ).
tcf(c_340,plain,
rp(sK3,sK0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_339,c_317,c_339]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ xsd_integer(X0)
| ~ rp(sK3,X2)
| ~ rp(sK3,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_279]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ xsd_integer(sK2)
| ~ rp(sK3,X1)
| ~ rp(sK3,X0) ),
inference(unflattening,[status(thm)],[c_345]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rp(sK3,X0)
| ~ rp(sK3,X1) ),
inference(global_subsumption_just,[status(thm)],[c_346,c_294,c_346]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rp(sK3,X1)
| ~ rp(sK3,X0) ),
inference(renaming,[status(thm)],[c_348]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( ~ xsd_integer(X0)
| ~ rp(sK3,X1)
| ( sK4 != sK5 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_142]) ).
tcf(c_361,plain,
! [X0: $i] :
( ~ xsd_integer(sK2)
| ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(unflattening,[status(thm)],[c_360]) ).
tcf(c_363,plain,
! [X0: $i] :
( ( sK4 != sK5 )
| ~ rp(sK3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_95,c_142,c_361]) ).
tcf(c_364,plain,
! [X0: $i] :
( ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(renaming,[status(thm)],[c_363]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( rp(sK3,sK5)
| ~ xsd_integer(X0)
| ~ rp(sK3,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_141]) ).
tcf(c_373,plain,
! [X0: $i] :
( rp(sK3,sK5)
| ~ xsd_integer(sK2)
| ~ rp(sK3,X0) ),
inference(unflattening,[status(thm)],[c_372]) ).
tcf(c_375,plain,
! [X0: $i] :
( rp(sK3,sK5)
| ~ rp(sK3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_86,c_141,c_373]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( rp(sK3,sK4)
| ~ xsd_integer(X0)
| ~ rp(sK3,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_140]) ).
tcf(c_385,plain,
! [X0: $i] :
( rp(sK3,sK4)
| ~ xsd_integer(sK2)
| ~ rp(sK3,X0) ),
inference(unflattening,[status(thm)],[c_384]) ).
tcf(c_387,plain,
! [X0: $i] :
( rp(sK3,sK4)
| ~ rp(sK3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_89,c_140,c_385]) ).
tcf(c_447,definition,
iPr_def_10 = sK0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_448,plain,
! [X0: $i] :
( rp(sK3,sK4)
| ~ rp(sK3,X0) ),
inference(demodulation,[status(thm)],[c_387]) ).
tcf(c_449,plain,
! [X0: $i] :
( rp(sK3,sK5)
| ~ rp(sK3,X0) ),
inference(demodulation,[status(thm)],[c_375]) ).
tcf(c_450,plain,
! [X0: $i] :
( ~ rp(sK3,X0)
| ( sK4 != sK5 ) ),
inference(demodulation,[status(thm)],[c_364]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rp(sK3,X1)
| ~ rp(sK3,X0) ),
inference(demodulation,[status(thm)],[c_349]) ).
tcf(c_452,plain,
rp(sK3,iPr_def_10),
inference(demodulation,[status(thm)],[c_340,c_447]) ).
tcf(c_557,plain,
rp(sK3,sK5),
inference(superposition,[status(thm)],[c_452,c_449]) ).
tcf(c_558,plain,
rp(sK3,sK4),
inference(superposition,[status(thm)],[c_452,c_448]) ).
tcf(c_565,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ rp(sK3,X0) ),
inference(superposition,[status(thm)],[c_558,c_451]) ).
tcf(c_582,plain,
sK4 = sK5,
inference(superposition,[status(thm)],[c_557,c_565]) ).
tcf(c_584,plain,
! [X0: $i] : ~ rp(sK3,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_450,c_582]) ).
tcf(c_586,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_452,c_584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS143+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 19:29:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 1.72/1.27 % SZS status Started for theBenchmark.p
% 1.72/1.27 % SZS status Theorem for theBenchmark.p
% 1.72/1.27
% 1.72/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/1.27
% 1.72/1.27 % ------ iProver source info
% 1.72/1.27
% 1.72/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/1.27 % git: non_committed_changes: false
% 1.72/1.27
% 1.72/1.27 % ------ Parsing...
% 1.72/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.72/1.27
% 1.72/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 1.72/1.27
% 1.72/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.72/1.27
% 1.72/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.72/1.27 % ------ Proving...
% 1.72/1.27 % ------ Problem Properties
% 1.72/1.27
% 1.72/1.27 %
% 1.72/1.27 % clauses 6
% 1.72/1.27 % conjectures 0
% 1.72/1.27 % EPR 5
% 1.72/1.27 % Horn 6
% 1.72/1.27 % unary 2
% 1.72/1.27 % binary 3
% 1.72/1.27 % lits 11
% 1.72/1.27 % lits eq 3
% 1.72/1.27 % fd_pure 0
% 1.72/1.27 % fd_pseudo 0
% 1.72/1.27 % fd_cond 0
% 1.72/1.27 % fd_pseudo_cond 1
% 1.72/1.27 % AC symbols 0
% 1.72/1.27
% 1.72/1.27 % ------ Schedule dynamic 5 is on
% 1.72/1.27
% 1.72/1.27 % ------ no conjectures: strip conj schedule
% 1.72/1.27
% 1.72/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.72/1.27
% 1.72/1.27
% 1.72/1.27 % ------
% 1.72/1.27 % Current options:
% 1.72/1.27 % ------
% 1.72/1.27
% 1.72/1.27
% 1.72/1.27 %
% 1.72/1.27
% 1.72/1.27 % ------ Proving...
% 1.72/1.27 %
% 1.72/1.27
% 1.72/1.27 % SZS status Theorem for theBenchmark.p
% 1.72/1.27
% 1.72/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.72/1.27
% 1.72/1.27
%------------------------------------------------------------------------------