%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS167+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 : 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 01:54:19 PM UTC 2026
% Result : Theorem 1.87s 6.28s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 106 ( 10 unt; 0 def)
% Number of atoms : 415 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 505 ( 196 ~; 229 |; 59 &)
% ( 15 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 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; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 178 ( 0 sgn 146 !; 32 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f10,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f11,axiom,
! [X0] :
( cc1(X0)
<=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X1] : rp(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f12,axiom,
! [X0] :
( cc2(X0)
<=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X1] : rp(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f13,conjecture,
( ! [X0] :
( cc1(X0)
<=> cc2(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f14,negated_conjecture,
~ ( ! [X0] :
( cc1(X0)
<=> cc2(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] :
( cc1(X0)
<=> ( ! [X2,X3] :
( ( rp(X0,X3)
& rp(X0,X2) )
=> X2 = X3 )
& ? [X1] : rp(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f16,plain,
! [X0] :
( cc2(X0)
<=> ( ! [X2,X3] :
( ( rp(X0,X3)
& rp(X0,X2) )
=> X2 = X3 )
& ? [X1] : rp(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f17,plain,
~ ( ! [X2] :
( cc1(X2)
<=> cc2(X2) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f14]) ).
fof(f34,plain,
! [X0] :
( cc1(X0)
<=> ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( cc1(X0)
<=> ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( cc2(X0)
<=> ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] :
( cc2(X0)
<=> ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X2] :
( cc1(X2)
<~> cc2(X2) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f39,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0] :
( ( ~ cc1(X0)
| ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) )
& ( ? [X2,X3] :
( rp(X0,X3)
& rp(X0,X2)
& X2 != X3 )
| ! [X1] : ~ rp(X0,X1)
| cc1(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f41,plain,
! [X0] :
( ( ~ cc1(X0)
| ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) )
& ( ? [X2,X3] :
( rp(X0,X3)
& rp(X0,X2)
& X2 != X3 )
| ! [X1] : ~ rp(X0,X1)
| cc1(X0) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ( ~ cc1(X0)
| ( ! [X5,X6] :
( ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6 )
& ? [X4] : rp(X0,X4) ) )
& ( ? [X2,X3] :
( rp(X0,X3)
& rp(X0,X2)
& X2 != X3 )
| ! [X1] : ~ rp(X0,X1)
| cc1(X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ( ~ cc1(X0)
| ( ! [X5,X6] :
( ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6 )
& rp(X0,sK2(X0)) ) )
& ( ( rp(X0,sK1(X0))
& rp(X0,sK0(X0))
& sK0(X0) != sK1(X0) )
| ! [X1] : ~ rp(X0,X1)
| cc1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0)),skolemize(X3,sK1(X0)),skolemize(X4,sK2(X0))],[f42]) ).
fof(f44,plain,
! [X0] :
( ( ~ cc2(X0)
| ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) )
& ( ? [X2,X3] :
( rp(X0,X3)
& rp(X0,X2)
& X2 != X3 )
| ! [X1] : ~ rp(X0,X1)
| cc2(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f45,plain,
! [X0] :
( ( ~ cc2(X0)
| ( ! [X2,X3] :
( ~ rp(X0,X3)
| ~ rp(X0,X2)
| X2 = X3 )
& ? [X1] : rp(X0,X1) ) )
& ( ? [X2,X3] :
( rp(X0,X3)
& rp(X0,X2)
& X2 != X3 )
| ! [X1] : ~ rp(X0,X1)
| cc2(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( ~ cc2(X0)
| ( ! [X5,X6] :
( ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6 )
& ? [X4] : rp(X0,X4) ) )
& ( ? [X2,X3] :
( rp(X0,X3)
& rp(X0,X2)
& X2 != X3 )
| ! [X1] : ~ rp(X0,X1)
| cc2(X0) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( ~ cc2(X0)
| ( ! [X5,X6] :
( ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6 )
& rp(X0,sK5(X0)) ) )
& ( ( rp(X0,sK4(X0))
& rp(X0,sK3(X0))
& sK3(X0) != sK4(X0) )
| ! [X1] : ~ rp(X0,X1)
| cc2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0)),skolemize(X4,sK5(X0))],[f46]) ).
fof(f48,plain,
( ? [X2] :
( ( cc1(X2)
| cc2(X2) )
& ( ~ cc1(X2)
| ~ cc2(X2) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f49,plain,
( ( ( cc1(sK8)
| cc2(sK8) )
& ( ~ cc1(sK8)
| ~ cc2(sK8) ) )
| ( ( xsd_string(sK7)
| ~ xsd_integer(sK7) )
& ( ~ xsd_string(sK7)
| xsd_integer(sK7) ) )
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f48]) ).
fof(f58,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0,X6,X5] :
( ~ cc1(X0)
| ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6 ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
! [X0] :
( ~ cc1(X0)
| rp(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0,X1] :
( rp(X0,sK1(X0))
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f65,plain,
! [X0,X1] :
( rp(X0,sK0(X0))
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
! [X0,X1] :
( sK0(X0) != sK1(X0)
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f67,plain,
! [X0,X6,X5] :
( ~ cc2(X0)
| ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f68,plain,
! [X0] :
( ~ cc2(X0)
| rp(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f69,plain,
! [X0,X1] :
( rp(X0,sK4(X0))
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f70,plain,
! [X0,X1] :
( rp(X0,sK3(X0))
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0,X1] :
( sK3(X0) != sK4(X0)
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
( cc1(sK8)
| cc2(sK8)
| xsd_string(sK7)
| ~ xsd_integer(sK7)
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f49]) ).
fof(f73,plain,
( ~ cc1(sK8)
| ~ cc2(sK8)
| xsd_string(sK7)
| ~ xsd_integer(sK7)
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f49]) ).
fof(f74,plain,
( cc1(sK8)
| cc2(sK8)
| ~ xsd_string(sK7)
| xsd_integer(sK7)
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
( ~ cc1(sK8)
| ~ cc2(sK8)
| ~ xsd_string(sK7)
| xsd_integer(sK7)
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f59]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f58]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| ~ rp(X0,X1)
| ( sK0(X0) != sK1(X0) ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| rp(X0,sK0(X0))
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| rp(X0,sK1(X0))
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_56,plain,
! [X0: $i] :
( rp(X0,sK2(X0))
| ~ cc1(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cc1(X0)
| ~ rp(X0,X2)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| ~ rp(X0,X1)
| ( sK3(X0) != sK4(X0) ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| rp(X0,sK3(X0))
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| rp(X0,sK4(X0))
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_61,plain,
! [X0: $i] :
( rp(X0,sK5(X0))
| ~ cc2(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ cc2(X0)
| ~ rp(X0,X2)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_63,negated_conjecture,
( xsd_integer(sK7)
| cowlNothing(sK6)
| ~ cc2(sK8)
| ~ cc1(sK8)
| ~ xsd_string(sK7)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_64,negated_conjecture,
( cc2(sK8)
| cc1(sK8)
| xsd_integer(sK7)
| cowlNothing(sK6)
| ~ xsd_string(sK7)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_65,negated_conjecture,
( xsd_string(sK7)
| cowlNothing(sK6)
| ~ cc2(sK8)
| ~ cc1(sK8)
| ~ xsd_integer(sK7)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_66,negated_conjecture,
( cc2(sK8)
| cc1(sK8)
| xsd_string(sK7)
| cowlNothing(sK6)
| ~ xsd_integer(sK7)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_67,plain,
cowlThing(sK6),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_68,plain,
~ cowlNothing(sK6),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_81,negated_conjecture,
( cc2(sK8)
| cc1(sK8)
| xsd_string(sK7)
| ~ xsd_integer(sK7) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_67,c_68,c_66]) ).
tcf(c_83,negated_conjecture,
( cc2(sK8)
| cc1(sK8)
| xsd_integer(sK7)
| ~ xsd_string(sK7) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_67,c_68,c_64]) ).
tcf(c_85,plain,
( xsd_string(sK7)
| ~ xsd_integer(sK7)
| ~ cc1(sK8)
| ~ cc2(sK8) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_67,c_68,c_65]) ).
tcf(c_86,negated_conjecture,
( xsd_string(sK7)
| ~ cc2(sK8)
| ~ cc1(sK8)
| ~ xsd_integer(sK7) ),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_87,plain,
( xsd_integer(sK7)
| ~ xsd_string(sK7)
| ~ cc1(sK8)
| ~ cc2(sK8) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_67,c_68,c_63]) ).
tcf(c_88,negated_conjecture,
( xsd_integer(sK7)
| ~ cc2(sK8)
| ~ cc1(sK8)
| ~ xsd_string(sK7) ),
inference(renaming,[status(thm)],[c_87]) ).
tcf(c_89,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_90,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_89]) ).
tcf(c_91,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_92,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_139,plain,
( cc2(sK8)
| cc1(sK8)
| xsd_integer(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_83,c_92]) ).
tcf(c_142,plain,
( cc2(sK8)
| cc1(sK8)
| xsd_string(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_92]) ).
tcf(c_143,plain,
( xsd_string(sK7)
| ~ cc2(sK8)
| ~ cc1(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_92]) ).
tcf(c_332,plain,
! [X0: $i] :
( ~ cc2(sK8)
| ~ cc1(sK8)
| ~ xsd_integer(X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_143]) ).
tcf(c_333,plain,
( ~ cc2(sK8)
| ~ cc1(sK8)
| ~ xsd_integer(sK7) ),
inference(unflattening,[status(thm)],[c_332]) ).
tcf(c_334,plain,
( ~ cc2(sK8)
| ~ cc1(sK8) ),
inference(global_subsumption_just,[status(thm)],[c_333,c_88,c_143,c_333]) ).
tcf(c_342,plain,
! [X0: $i] :
( cc2(sK8)
| cc1(sK8)
| ~ xsd_integer(X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_142]) ).
tcf(c_343,plain,
( cc2(sK8)
| cc1(sK8)
| ~ xsd_integer(sK7) ),
inference(unflattening,[status(thm)],[c_342]) ).
tcf(c_344,plain,
( cc2(sK8)
| cc1(sK8) ),
inference(global_subsumption_just,[status(thm)],[c_343,c_139,c_343]) ).
tcf(c_731,plain,
( ~ cc1(sK8)
| ~ cc2(sK8) ),
inference(prop_impl_just,[status(thm)],[c_334]) ).
tcf(c_732,plain,
( ~ cc2(sK8)
| ~ cc1(sK8) ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_733,plain,
( cc1(sK8)
| cc2(sK8) ),
inference(prop_impl_just,[status(thm)],[c_344]) ).
tcf(c_734,plain,
( cc2(sK8)
| cc1(sK8) ),
inference(renaming,[status(thm)],[c_733]) ).
tcf(c_1561,plain,
! [X0: $i] :
( cc1(X0)
| rp(X0,sK0(X0))
| ~ cc2(X0) ),
inference(superposition,[status(thm)],[c_61,c_54]) ).
tcf(c_1581,plain,
! [X0: $i] :
( cc1(X0)
| rp(X0,sK1(X0))
| ~ cc2(X0) ),
inference(superposition,[status(thm)],[c_61,c_55]) ).
tcf(c_1608,plain,
! [X0: $i] :
( cc2(X0)
| rp(X0,sK3(X0))
| ~ cc1(X0) ),
inference(superposition,[status(thm)],[c_56,c_59]) ).
tcf(c_1622,plain,
! [X0: $i] :
( cc2(X0)
| rp(X0,sK4(X0))
| ~ cc1(X0) ),
inference(superposition,[status(thm)],[c_56,c_60]) ).
tcf(c_1661,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| ( sK3(X0) = X1 )
| ~ cc1(X0)
| ~ rp(X0,X1) ),
inference(superposition,[status(thm)],[c_1608,c_57]) ).
tcf(c_1677,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| ( sK4(X0) = X1 )
| ~ cc1(X0)
| ~ rp(X0,X1) ),
inference(superposition,[status(thm)],[c_1622,c_57]) ).
tcf(c_1742,plain,
! [X0: $i] :
( cc2(X0)
| ( sK3(X0) = sK4(X0) )
| ~ cc1(X0) ),
inference(superposition,[status(thm)],[c_1622,c_1661]) ).
tcf(c_1754,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| ~ rp(X0,X1)
| ~ cc1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1677,c_58,c_1742]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i] :
( cc2(X0)
| ~ cc1(X0)
| ~ rp(X0,X1) ),
inference(renaming,[status(thm)],[c_1754]) ).
tcf(c_1764,plain,
! [X0: $i] :
( cc2(X0)
| ~ cc1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1622,c_1755]) ).
tcf(c_1776,plain,
cc2(sK8),
inference(backward_subsumption_resolution,[status(thm)],[c_734,c_1764]) ).
tcf(c_1778,plain,
~ cc1(sK8),
inference(backward_subsumption_resolution,[status(thm)],[c_732,c_1764]) ).
tcf(c_1794,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| ( sK0(X0) = X1 )
| ~ cc2(X0)
| ~ rp(X0,X1) ),
inference(superposition,[status(thm)],[c_1561,c_62]) ).
tcf(c_1795,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| ( sK1(X0) = X1 )
| ~ cc2(X0)
| ~ rp(X0,X1) ),
inference(superposition,[status(thm)],[c_1581,c_62]) ).
tcf(c_1843,plain,
! [X0: $i] :
( cc1(X0)
| ( sK0(X0) = sK1(X0) )
| ~ cc2(X0) ),
inference(superposition,[status(thm)],[c_1581,c_1794]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| ~ rp(X0,X1)
| ~ cc2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1795,c_53,c_1843]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i] :
( cc1(X0)
| ~ cc2(X0)
| ~ rp(X0,X1) ),
inference(renaming,[status(thm)],[c_1850]) ).
tcf(c_1860,plain,
! [X0: $i] :
( cc1(X0)
| ~ cc2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1581,c_1851]) ).
tcf(c_1870,plain,
cc1(sK8),
inference(superposition,[status(thm)],[c_1776,c_1860]) ).
tcf(c_1871,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1870,c_1778]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n002.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 19:36:55 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 1.87/6.28 % SZS status Started for theBenchmark.p
% 1.87/6.28 % SZS status Theorem for theBenchmark.p
% 1.87/6.28
% 1.87/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.87/6.28
% 1.87/6.28 % ------ iProver source info
% 1.87/6.28
% 1.87/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.87/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.87/6.28 % git: non_committed_changes: false
% 1.87/6.28
% 1.87/6.28 % ------ Parsing...
% 1.87/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.87/6.28
% 1.87/6.28 % ------ 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: 3 0s sf_e pe_s pe_e %
% 1.87/6.28
% 1.87/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.87/6.28
% 1.87/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.87/6.28 % ------ Proving...
% 1.87/6.28 % ------ Problem Properties
% 1.87/6.28
% 1.87/6.28 %
% 1.87/6.28 % clauses 12
% 1.87/6.28 % conjectures 0
% 1.87/6.28 % EPR 4
% 1.87/6.28 % Horn 7
% 1.87/6.28 % unary 0
% 1.87/6.28 % binary 4
% 1.87/6.28 % lits 34
% 1.87/6.28 % lits eq 4
% 1.87/6.28 % fd_pure 0
% 1.87/6.28 % fd_pseudo 0
% 1.87/6.28 % fd_cond 0
% 1.87/6.28 % fd_pseudo_cond 2
% 1.87/6.28 % AC symbols 0
% 1.87/6.28
% 1.87/6.28 % ------ Schedule dynamic 5 is on
% 1.87/6.28
% 1.87/6.28 % ------ no conjectures: strip conj schedule
% 1.87/6.28
% 1.87/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.87/6.28
% 1.87/6.28
% 1.87/6.28 % ------
% 1.87/6.28 % Current options:
% 1.87/6.28 % ------
% 1.87/6.28
% 1.87/6.28
% 1.87/6.28 %
% 1.87/6.28
% 1.87/6.28 % ------ Proving...
% 1.87/6.28 %
% 1.87/6.28
% 1.87/6.28 % SZS status Theorem for theBenchmark.p
% 1.87/6.28
% 1.87/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.87/6.28
% 1.87/6.28
%------------------------------------------------------------------------------