%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 0.42s 1.29s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 110 ( 14 unt; 0 def)
% Number of atoms : 396 ( 89 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 510 ( 224 ~; 245 |; 30 &)
% ( 4 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 136 ( 0 sgn 118 !; 18 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
! [X0,X1] :
( rsymProp(X0,X1)
=> ( X1 = ib
| X1 = ia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f10,axiom,
! [X0,X1] :
( rsymProp(X0,X1)
=> rsymProp(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
rsymProp(ia,ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
rsymProp(ib,ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f15,conjecture,
( ? [X0] :
( cowlThing(X0)
& rsymProp(ia,X0) )
& ! [X0,X1,X2] :
( ( rsymProp(X1,X2)
& rsymProp(X0,X1) )
=> rsymProp(X0,X2) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f16,negated_conjecture,
~ ( ? [X0] :
( cowlThing(X0)
& rsymProp(ia,X0) )
& ! [X0,X1,X2] :
( ( rsymProp(X1,X2)
& rsymProp(X0,X1) )
=> rsymProp(X0,X2) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
~ ( ? [X5] :
( cowlThing(X5)
& rsymProp(ia,X5) )
& ! [X2,X3,X4] :
( ( rsymProp(X3,X4)
& rsymProp(X2,X3) )
=> rsymProp(X2,X4) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f30,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| X1 = ib
| X1 = ia ),
inference(ennf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| X1 = ib
| X1 = ia ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| rsymProp(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f33,plain,
( ! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5) )
| ? [X2,X3,X4] :
( rsymProp(X3,X4)
& rsymProp(X2,X3)
& ~ rsymProp(X2,X4) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f34,plain,
( ! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5) )
| ? [X2,X3,X4] :
( rsymProp(X3,X4)
& rsymProp(X2,X3)
& ~ rsymProp(X2,X4) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f36,plain,
( ! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5) )
| ? [X2,X3,X4] :
( rsymProp(X3,X4)
& rsymProp(X2,X3)
& ~ rsymProp(X2,X4) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f37,plain,
( ! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5) )
| ( rsymProp(sK3,sK4)
& rsymProp(sK2,sK3)
& ~ rsymProp(sK2,sK4) )
| ( ( xsd_string(sK1)
| ~ xsd_integer(sK1) )
& ( ~ xsd_string(sK1)
| xsd_integer(sK1) ) )
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f36]) ).
fof(f44,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| ib = X1
| ia = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| rsymProp(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
rsymProp(ia,ia),
inference(cnf_transformation,[],[f12]) ).
fof(f53,plain,
rsymProp(ib,ib),
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK3,sK4)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK2,sK3)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| ~ rsymProp(sK2,sK4)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f57,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK3,sK4)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK2,sK3)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| ~ rsymProp(sK2,sK4)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f45]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f44]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ( X1 = ib )
| ( X1 = ia )
| ~ rsymProp(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( rsymProp(X1,X0)
| ~ rsymProp(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_56,plain,
rsymProp(ia,ia),
inference(cnf_transformation,[],[f51]) ).
tcf(c_58,plain,
rsymProp(ib,ib),
inference(cnf_transformation,[],[f53]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(X0)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK1)
| cowlNothing(sK0)
| rsymProp(sK2,sK3)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(X0)
| ~ rsymProp(ia,X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] :
( xsd_integer(sK1)
| cowlNothing(sK0)
| rsymProp(sK3,sK4)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(X0)
| ~ rsymProp(ia,X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] :
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(X0)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] :
( xsd_string(sK1)
| cowlNothing(sK0)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(X0)
| ~ rsymProp(ia,X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] :
( xsd_string(sK1)
| cowlNothing(sK0)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(X0)
| ~ rsymProp(ia,X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_92,plain,
! [X0: $i] :
( xsd_integer(sK1)
| rsymProp(sK2,sK3)
| ~ xsd_string(sK1)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_50,c_49,c_49]) ).
tcf(c_97,plain,
! [X0: $i] :
( xsd_integer(sK1)
| rsymProp(sK2,sK3)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92,c_51]) ).
tcf(c_107,plain,
! [X0: $i] :
( xsd_integer(sK1)
| rsymProp(sK3,sK4)
| ~ xsd_string(sK1)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61,c_50,c_49,c_49]) ).
tcf(c_112,plain,
! [X0: $i] :
( xsd_integer(sK1)
| rsymProp(sK3,sK4)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107,c_51]) ).
tcf(c_122,plain,
! [X0: $i] :
( xsd_string(sK1)
| rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_50,c_49,c_49]) ).
tcf(c_127,plain,
! [X0: $i] :
( xsd_string(sK1)
| rsymProp(sK2,sK3)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122,c_51]) ).
tcf(c_137,plain,
! [X0: $i] :
( xsd_string(sK1)
| rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_50,c_49,c_49]) ).
tcf(c_142,plain,
! [X0: $i] :
( xsd_string(sK1)
| rsymProp(sK3,sK4)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137,c_51]) ).
tcf(c_152,plain,
! [X0: $i] :
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_50,c_49,c_49]) ).
tcf(c_157,plain,
! [X0: $i] :
( xsd_integer(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152,c_51]) ).
tcf(c_167,plain,
! [X0: $i] :
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_50,c_49,c_49]) ).
tcf(c_172,plain,
! [X0: $i] :
( xsd_string(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167,c_51]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] :
( ~ xsd_integer(X0)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X1)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_172]) ).
tcf(c_197,plain,
! [X0: $i] :
( ~ xsd_integer(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(unflattening,[status(thm)],[c_196]) ).
tcf(c_199,plain,
! [X0: $i] :
( ~ rsymProp(ia,X0)
| ~ rsymProp(sK2,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_197,c_157,c_197]) ).
tcf(c_200,plain,
! [X0: $i] :
( ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(renaming,[status(thm)],[c_199]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( rsymProp(sK3,sK4)
| ~ xsd_integer(X0)
| ~ rsymProp(ia,X1)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_142]) ).
tcf(c_209,plain,
! [X0: $i] :
( rsymProp(sK3,sK4)
| ~ xsd_integer(sK1)
| ~ rsymProp(ia,X0) ),
inference(unflattening,[status(thm)],[c_208]) ).
tcf(c_211,plain,
! [X0: $i] :
( rsymProp(sK3,sK4)
| ~ rsymProp(ia,X0) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_112,c_209]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( rsymProp(sK2,sK3)
| ~ xsd_integer(X0)
| ~ rsymProp(ia,X1)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_127]) ).
tcf(c_221,plain,
! [X0: $i] :
( rsymProp(sK2,sK3)
| ~ xsd_integer(sK1)
| ~ rsymProp(ia,X0) ),
inference(unflattening,[status(thm)],[c_220]) ).
tcf(c_223,plain,
! [X0: $i] :
( rsymProp(sK2,sK3)
| ~ rsymProp(ia,X0) ),
inference(global_subsumption_just,[status(thm)],[c_221,c_97,c_221]) ).
tcf(c_262,plain,
! [X0: $i] :
( rsymProp(sK2,sK3)
| ~ rsymProp(ia,X0) ),
inference(demodulation,[status(thm)],[c_223]) ).
tcf(c_263,plain,
! [X0: $i] :
( rsymProp(sK3,sK4)
| ~ rsymProp(ia,X0) ),
inference(demodulation,[status(thm)],[c_211]) ).
tcf(c_264,plain,
! [X0: $i] :
( ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X0) ),
inference(demodulation,[status(thm)],[c_200]) ).
tcf(c_265,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rsymProp(X0,X2)
| ~ rsymProp(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_273,plain,
( rsymProp(sK2,sK3)
| ~ rsymProp(ia,ia) ),
inference(instantiation,[status(thm)],[c_262]) ).
tcf(c_274,plain,
( rsymProp(sK3,sK4)
| ~ rsymProp(ia,ia) ),
inference(instantiation,[status(thm)],[c_263]) ).
tcf(c_281,plain,
( ( sK3 = ib )
| ( sK3 = ia )
| ~ rsymProp(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_282,plain,
( rsymProp(sK3,sK2)
| ~ rsymProp(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_285,plain,
( ( sK4 = ib )
| ( sK4 = ia )
| ~ rsymProp(sK3,sK4) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_286,plain,
( rsymProp(sK4,sK3)
| ~ rsymProp(sK3,sK4) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_302,plain,
( ( sK2 = ib )
| ( sK2 = ia )
| ~ rsymProp(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_306,plain,
( ( sK3 = ib )
| ( sK3 = ia )
| ~ rsymProp(sK4,sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_330,plain,
sK4 = sK4,
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_396,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_546,plain,
( ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,ia) ),
inference(instantiation,[status(thm)],[c_264]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i] :
( rsymProp(X0,X1)
| ~ rsymProp(ia,ia)
| ( X1 != ia )
| ( X0 != ia ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i] :
( rsymProp(X0,X1)
| ~ rsymProp(ib,ib)
| ( X1 != ib )
| ( X0 != ib ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] :
( rsymProp(X0,X1)
| ~ rsymProp(sK2,sK3)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i] :
( rsymProp(X0,X1)
| ~ rsymProp(sK3,sK4)
| ( X1 != sK4 )
| ( X0 != sK3 ) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK3 )
| ( sK3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_584,plain,
! [X0: $i] :
( rsymProp(X0,sK4)
| ~ rsymProp(sK3,sK4)
| ( sK4 != sK4 )
| ( X0 != sK3 ) ),
inference(instantiation,[status(thm)],[c_556]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK4 )
| ( sK4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_603,plain,
! [X0: $i] :
( rsymProp(X0,sK2)
| ~ rsymProp(ia,ia)
| ( sK2 != ia )
| ( X0 != ia ) ),
inference(instantiation,[status(thm)],[c_549]) ).
tcf(c_617,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ( sK3 != ia )
| ( X0 != ia ) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i] :
( ( sK4 = X0 )
| ( sK4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_621,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK4 != ib )
| ( X0 != ib ) ),
inference(instantiation,[status(thm)],[c_586]) ).
tcf(c_683,plain,
( ( sK2 = sK3 )
| ( sK3 != ia )
| ( sK2 != ia ) ),
inference(instantiation,[status(thm)],[c_617]) ).
tcf(c_688,plain,
! [X0: $i] :
( ( sK4 = X0 )
| ( sK4 != sK4 )
| ( X0 != sK4 ) ),
inference(instantiation,[status(thm)],[c_620]) ).
tcf(c_762,plain,
( ( sK3 = sK4 )
| ( sK3 != ib )
| ( sK4 != ib ) ),
inference(instantiation,[status(thm)],[c_621]) ).
tcf(c_767,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ( sK3 != ib )
| ( X0 != ib ) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_795,plain,
! [X0: $i] :
( rsymProp(X0,sK2)
| ~ rsymProp(ib,ib)
| ( sK2 != ib )
| ( X0 != ib ) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_900,plain,
( ( sK4 = sK3 )
| ( sK3 != sK4 )
| ( sK4 != sK4 ) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_933,plain,
( ( sK2 = sK3 )
| ( sK3 != ib )
| ( sK2 != ib ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_976,plain,
! [X0: $i] :
( rsymProp(X0,sK4)
| ~ rsymProp(sK2,sK3)
| ( sK4 != sK3 )
| ( X0 != sK2 ) ),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_1051,plain,
( rsymProp(sK4,sK2)
| ~ rsymProp(ib,ib)
| ( sK4 != ib )
| ( sK2 != ib ) ),
inference(instantiation,[status(thm)],[c_795]) ).
tcf(c_1176,plain,
( rsymProp(sK2,sK4)
| ~ rsymProp(sK3,sK4)
| ( sK4 != sK4 )
| ( sK2 != sK3 ) ),
inference(instantiation,[status(thm)],[c_584]) ).
tcf(c_1372,plain,
( rsymProp(sK4,sK2)
| ~ rsymProp(ia,ia)
| ( sK4 != ia )
| ( sK2 != ia ) ),
inference(instantiation,[status(thm)],[c_603]) ).
tcf(c_1373,plain,
( ( sK4 = sK3 )
| ( sK3 != ia )
| ( sK4 != ia ) ),
inference(instantiation,[status(thm)],[c_617]) ).
tcf(c_1873,plain,
( rsymProp(sK2,sK4)
| ~ rsymProp(sK2,sK3)
| ( sK4 != sK3 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_976]) ).
tcf(c_1879,plain,
( rsymProp(sK2,sK4)
| ~ rsymProp(sK4,sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_2014,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1879,c_1873,c_1372,c_1373,c_1176,c_1051,c_933,c_900,c_762,c_683,c_546,c_396,c_330,c_306,c_302,c_285,c_286,c_281,c_282,c_274,c_273,c_56,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 19:32:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.42/1.29 % SZS status Started for theBenchmark.p
% 0.42/1.29 % SZS status Theorem for theBenchmark.p
% 0.42/1.29
% 0.42/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.42/1.29
% 0.42/1.29 % ------ iProver source info
% 0.42/1.29
% 0.42/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.42/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.42/1.29 % git: non_committed_changes: false
% 0.42/1.29
% 0.42/1.29 % ------ Parsing...
% 0.42/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 0.42/1.29 %
% 0.42/1.29
% 0.42/1.29 % ------ Preprocessing... sup_sim: 8 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 %
% 0.42/1.29
% 0.42/1.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 0.42/1.29 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 0.42/1.29 %
% 0.42/1.29
% 0.42/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.42/1.29 % ------ Proving...
% 0.42/1.29 % ------ Problem Properties
% 0.42/1.29
% 0.42/1.29 %
% 0.42/1.29 % clauses 7
% 0.42/1.29 % conjectures 0
% 0.42/1.29 % EPR 7
% 0.42/1.29 % Horn 6
% 0.42/1.29 % unary 2
% 0.42/1.29 % binary 4
% 0.42/1.29 % lits 13
% 0.42/1.29 % lits eq 2
% 0.42/1.29 % fd_pure 0
% 0.42/1.29 % fd_pseudo 0
% 0.42/1.29 % fd_cond 1
% 0.42/1.29 % fd_pseudo_cond 0
% 0.42/1.29 % AC symbols 0
% 0.42/1.29
% 0.42/1.29 % ------ Schedule EPR non Horn eq is on
% 0.42/1.29
% 0.42/1.29 % ------ no conjectures: strip conj schedule
% 0.42/1.29
% 0.42/1.29 % ------ Option_epr_non_horn_eq stripped conjectures Time Limit: Unbounded
% 0.42/1.29
% 0.42/1.29
% 0.42/1.29 % ------
% 0.42/1.29 % Current options:
% 0.42/1.29 % ------
% 0.42/1.29
% 0.42/1.29
% 0.42/1.29 %
% 0.42/1.29
% 0.42/1.29 % ------ Proving...
% 0.42/1.29 %
% 0.42/1.29
% 0.42/1.29 % SZS status Theorem for theBenchmark.p
% 0.42/1.29
% 0.42/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.30
% 0.42/1.30
%------------------------------------------------------------------------------