%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS132+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 : n001.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 01:54:14 PM UTC 2026
% Result : Theorem 1.50s 1.29s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 164 ( 8 unt; 0 def)
% Number of atoms : 576 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 690 ( 278 ~; 324 |; 64 &)
% ( 17 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 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 : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 198 ( 0 sgn 171 !; 27 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cA(X0)
<=> ? [X1] :
( cowlThing(X1)
& rq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cAorB(X0)
<=> ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cB(X0)
<=> ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cnotAorB(X0)
<=> ( cnotA(X0)
& cnotB(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,conjecture,
( ! [X0] :
( cAorB(X0)
<=> ( cA(X0)
| cB(X0) ) )
& ! [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] :
( cAorB(X0)
<=> ( cA(X0)
| cB(X0) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
~ ( ! [X2] :
( cAorB(X2)
<=> ( cA(X2)
| cB(X2) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ cNothing(X0)
| ? [X1] : rp(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0] :
( ~ cNothing(X0)
| ! [X1] : ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( ~ rq(X0,X1)
| cNothing(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( ~ rs(X0,X1)
| cNothing(X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( ~ rr(X0,X1)
| cNothing(X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f20,plain,
( ? [X2] :
( cAorB(X2)
<~> ( cA(X2)
| cB(X2) ) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f21,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f22,plain,
! [X0] :
( ( ~ cA(X0)
| ? [X1] :
( cowlThing(X1)
& rq(X0,X1) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) )
| cA(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0] :
( ( ~ cA(X0)
| ? [X2] :
( cowlThing(X2)
& rq(X0,X2) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) )
| cA(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ( ~ cA(X0)
| ( cowlThing(sK0(X0))
& rq(X0,sK0(X0)) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) )
| cA(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f23]) ).
fof(f25,plain,
! [X0] :
( ( ~ cAorB(X0)
| ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) )
| cAorB(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] :
( ( ~ cAorB(X0)
| ? [X2] :
( cowlThing(X2)
& rs(X0,X2) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) )
| cAorB(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ( ~ cAorB(X0)
| ( cowlThing(sK1(X0))
& rs(X0,sK1(X0)) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) )
| cAorB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f26]) ).
fof(f28,plain,
! [X0] :
( ( ~ cB(X0)
| ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| cB(X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X0] :
( ( ~ cB(X0)
| ? [X2] :
( cowlThing(X2)
& rr(X0,X2) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| cB(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ( ~ cB(X0)
| ( cowlThing(sK2(X0))
& rr(X0,sK2(X0)) ) )
& ( ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| cB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f29]) ).
fof(f31,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK3(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f15]) ).
fof(f32,plain,
! [X0] :
( ( ~ cnotA(X0)
| ! [X1] :
( ~ rq(X0,X1)
| cNothing(X1) ) )
& ( ? [X1] :
( rq(X0,X1)
& ~ cNothing(X1) )
| cnotA(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] :
( ( ~ cnotA(X0)
| ! [X2] :
( ~ rq(X0,X2)
| cNothing(X2) ) )
& ( ? [X1] :
( rq(X0,X1)
& ~ cNothing(X1) )
| cnotA(X0) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( ~ cnotA(X0)
| ! [X2] :
( ~ rq(X0,X2)
| cNothing(X2) ) )
& ( ( rq(X0,sK4(X0))
& ~ cNothing(sK4(X0)) )
| cnotA(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f33]) ).
fof(f35,plain,
! [X0] :
( ( ~ cnotAorB(X0)
| ! [X1] :
( ~ rs(X0,X1)
| cNothing(X1) ) )
& ( ? [X1] :
( rs(X0,X1)
& ~ cNothing(X1) )
| cnotAorB(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X0] :
( ( ~ cnotAorB(X0)
| ! [X2] :
( ~ rs(X0,X2)
| cNothing(X2) ) )
& ( ? [X1] :
( rs(X0,X1)
& ~ cNothing(X1) )
| cnotAorB(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( ~ cnotAorB(X0)
| ! [X2] :
( ~ rs(X0,X2)
| cNothing(X2) ) )
& ( ( rs(X0,sK5(X0))
& ~ cNothing(sK5(X0)) )
| cnotAorB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f36]) ).
fof(f38,plain,
! [X0] :
( ( ~ cnotAorB(X0)
| ( cnotA(X0)
& cnotB(X0) ) )
& ( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f39,plain,
! [X0] :
( ( ~ cnotAorB(X0)
| ( cnotA(X0)
& cnotB(X0) ) )
& ( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ( ~ cnotB(X0)
| ! [X1] :
( ~ rr(X0,X1)
| cNothing(X1) ) )
& ( ? [X1] :
( rr(X0,X1)
& ~ cNothing(X1) )
| cnotB(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0] :
( ( ~ cnotB(X0)
| ! [X2] :
( ~ rr(X0,X2)
| cNothing(X2) ) )
& ( ? [X1] :
( rr(X0,X1)
& ~ cNothing(X1) )
| cnotB(X0) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ( ~ cnotB(X0)
| ! [X2] :
( ~ rr(X0,X2)
| cNothing(X2) ) )
& ( ( rr(X0,sK6(X0))
& ~ cNothing(sK6(X0)) )
| cnotB(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f41]) ).
fof(f43,plain,
( ? [X2] :
( ( cAorB(X2)
| cA(X2)
| cB(X2) )
& ( ~ cAorB(X2)
| ( ~ cA(X2)
& ~ cB(X2) ) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f44,plain,
( ? [X2] :
( ( cAorB(X2)
| cA(X2)
| cB(X2) )
& ( ~ cAorB(X2)
| ( ~ cA(X2)
& ~ cB(X2) ) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
( ( ( cAorB(sK9)
| cA(sK9)
| cB(sK9) )
& ( ~ cAorB(sK9)
| ( ~ cA(sK9)
& ~ cB(sK9) ) ) )
| ( ( xsd_string(sK8)
| ~ xsd_integer(sK8) )
& ( ~ xsd_string(sK8)
| xsd_integer(sK8) ) )
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f44]) ).
fof(f46,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f47,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f48,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] :
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X0] :
( ~ cAorB(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1)
| cAorB(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0] :
( ~ cB(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1)
| cB(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
! [X0,X1] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f61,plain,
! [X2,X0] :
( ~ cnotA(X0)
| ~ rq(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0] :
( rq(X0,sK4(X0))
| cnotA(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f64,plain,
! [X2,X0] :
( ~ cnotAorB(X0)
| ~ rs(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f65,plain,
! [X0] :
( rs(X0,sK5(X0))
| cnotAorB(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
! [X0] :
( ~ cnotAorB(X0)
| cnotA(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0] :
( ~ cnotAorB(X0)
| cnotB(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
! [X0] :
( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f70,plain,
! [X2,X0] :
( ~ cnotB(X0)
| ~ rr(X0,X2)
| cNothing(X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
! [X0] :
( rr(X0,sK6(X0))
| cnotB(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
( cAorB(sK9)
| cA(sK9)
| cB(sK9)
| xsd_string(sK8)
| ~ xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
( ~ cAorB(sK9)
| ~ cA(sK9)
| xsd_string(sK8)
| ~ xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f45]) ).
fof(f75,plain,
( ~ cAorB(sK9)
| ~ cB(sK9)
| xsd_string(sK8)
| ~ xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
( cAorB(sK9)
| cA(sK9)
| cB(sK9)
| ~ xsd_string(sK8)
| xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
( ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_string(sK8)
| xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f45]) ).
fof(f78,plain,
( ~ cAorB(sK9)
| ~ cB(sK9)
| ~ xsd_string(sK8)
| xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f47]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( cA(X0)
| ~ cowlThing(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_54,plain,
! [X0: $i] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( cAorB(X0)
| ~ cowlThing(X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_57,plain,
! [X0: $i] :
( rs(X0,sK1(X0))
| ~ cAorB(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( cB(X0)
| ~ cowlThing(X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_60,plain,
! [X0: $i] :
( rr(X0,sK2(X0))
| ~ cB(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_62,plain,
! [X0: $i] :
( rp(X0,sK3(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_65,plain,
! [X0: $i] :
( cnotA(X0)
| rq(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( cNothing(X1)
| ~ cnotA(X0)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_68,plain,
! [X0: $i] :
( cnotAorB(X0)
| rs(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( cNothing(X1)
| ~ cnotAorB(X0)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_70,plain,
! [X0: $i] :
( cnotAorB(X0)
| ~ cnotB(X0)
| ~ cnotA(X0) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_71,plain,
! [X0: $i] :
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_72,plain,
! [X0: $i] :
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_74,plain,
! [X0: $i] :
( cnotB(X0)
| rr(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( cNothing(X1)
| ~ cnotB(X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_76,negated_conjecture,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_string(sK8)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_77,negated_conjecture,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_string(sK8)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_78,negated_conjecture,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_integer(sK8)
| cowlNothing(sK7)
| ~ xsd_string(sK8)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_79,negated_conjecture,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_integer(sK8)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_80,negated_conjecture,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_integer(sK8)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_81,negated_conjecture,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_string(sK8)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| ~ cowlThing(sK7) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_109,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_110,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_109]) ).
tcf(c_111,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_112,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_111]) ).
tcf(c_113,plain,
! [X0: $i] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_117,plain,
! [X0: $i] :
( rs(X0,sK1(X0))
| ~ cAorB(X0) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
tcf(c_121,plain,
! [X0: $i] :
( rr(X0,sK2(X0))
| ~ cB(X0) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_125,plain,
! [X0: $i] :
( rp(X0,sK3(X0))
| ~ cNothing(X0) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_135,plain,
! [X0: $i] :
( rq(X0,sK4(X0))
| cnotA(X0) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
tcf(c_136,plain,
! [X0: $i] :
( cnotA(X0)
| rq(X0,sK4(X0)) ),
inference(renaming,[status(thm)],[c_135]) ).
tcf(c_137,plain,
! [X0: $i] :
( ~ cnotAorB(X0)
| cnotA(X0) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
tcf(c_138,plain,
! [X0: $i] :
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(renaming,[status(thm)],[c_137]) ).
tcf(c_141,plain,
! [X0: $i] :
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
tcf(c_147,plain,
! [X0: $i] :
( rs(X0,sK5(X0))
| cnotAorB(X0) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
tcf(c_148,plain,
! [X0: $i] :
( cnotAorB(X0)
| rs(X0,sK5(X0)) ),
inference(renaming,[status(thm)],[c_147]) ).
tcf(c_153,plain,
! [X0: $i] :
( rr(X0,sK6(X0))
| cnotB(X0) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
tcf(c_154,plain,
! [X0: $i] :
( cnotB(X0)
| rr(X0,sK6(X0)) ),
inference(renaming,[status(thm)],[c_153]) ).
tcf(c_231,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_string(sK8)
| cowlNothing(sK7)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_49]) ).
tcf(c_232,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_integer(sK8)
| cowlNothing(sK7)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_49]) ).
tcf(c_233,plain,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_49]) ).
tcf(c_234,plain,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_49]) ).
tcf(c_235,plain,
( xsd_string(sK8)
| cowlNothing(sK7)
| ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_49]) ).
tcf(c_236,plain,
( xsd_integer(sK8)
| cowlNothing(sK7)
| ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_49]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( cA(X0)
| ~ rq(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_49]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( cB(X0)
| ~ rr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_49]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( cAorB(X0)
| ~ rs(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_49]) ).
tcf(c_245,plain,
( xsd_integer(sK8)
| ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_236,c_50]) ).
tcf(c_246,plain,
( xsd_string(sK8)
| ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_235,c_50]) ).
tcf(c_247,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_integer(sK8)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_232,c_50]) ).
tcf(c_248,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_string(sK8)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_231,c_50]) ).
tcf(c_249,plain,
( xsd_integer(sK8)
| ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_234,c_50]) ).
tcf(c_250,plain,
( xsd_string(sK8)
| ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_233,c_50]) ).
tcf(c_254,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_247,c_112]) ).
tcf(c_255,plain,
( xsd_integer(sK8)
| ~ cAorB(sK9)
| ~ cA(sK9) ),
inference(backward_subsumption_resolution,[status(thm)],[c_245,c_112]) ).
tcf(c_256,plain,
( xsd_integer(sK8)
| ~ cB(sK9)
| ~ cAorB(sK9) ),
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_112]) ).
tcf(c_258,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_248,c_112]) ).
tcf(c_259,plain,
( xsd_string(sK8)
| ~ cAorB(sK9)
| ~ cA(sK9) ),
inference(backward_subsumption_resolution,[status(thm)],[c_246,c_112]) ).
tcf(c_260,plain,
( xsd_string(sK8)
| ~ cB(sK9)
| ~ cAorB(sK9) ),
inference(backward_subsumption_resolution,[status(thm)],[c_250,c_112]) ).
tcf(c_323,plain,
! [X0: $i] : ~ cNothing(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_125,c_128]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( ~ cnotA(X0)
| ~ rq(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_323]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( ~ cnotAorB(X0)
| ~ rs(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_323]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ~ cnotB(X0)
| ~ rr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_323]) ).
tcf(c_392,plain,
! [X0: $i] :
( ~ cnotA(X0)
| ~ cA(X0) ),
inference(resolution,[status(thm)],[c_328,c_113]) ).
tcf(c_402,plain,
! [X0: $i] :
( cnotA(X0)
| cA(X0) ),
inference(resolution,[status(thm)],[c_237,c_136]) ).
tcf(c_414,plain,
! [X0: $i] :
( ~ cnotAorB(X0)
| ~ cAorB(X0) ),
inference(resolution,[status(thm)],[c_329,c_117]) ).
tcf(c_415,plain,
( ~ cnotAorB(sK9)
| ~ cAorB(sK9) ),
inference(instantiation,[status(thm)],[c_414]) ).
tcf(c_424,plain,
! [X0: $i] :
( cnotAorB(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[c_239,c_148]) ).
tcf(c_425,plain,
( cnotAorB(sK9)
| cAorB(sK9) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_436,plain,
! [X0: $i] :
( ~ cnotB(X0)
| ~ cB(X0) ),
inference(resolution,[status(thm)],[c_330,c_121]) ).
tcf(c_446,plain,
! [X0: $i] :
( cnotB(X0)
| cB(X0) ),
inference(resolution,[status(thm)],[c_238,c_154]) ).
tcf(c_447,plain,
( cnotB(sK9)
| cB(sK9) ),
inference(instantiation,[status(thm)],[c_446]) ).
tcf(c_459,plain,
! [X0: $i] :
( cnotAorB(X0)
| cA(X0)
| ~ cnotB(X0) ),
inference(resolution,[status(thm)],[c_402,c_70]) ).
tcf(c_460,plain,
( cnotAorB(sK9)
| cA(sK9)
| ~ cnotB(sK9) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_470,plain,
! [X0: $i] :
( ~ cnotAorB(X0)
| ~ cA(X0) ),
inference(resolution,[status(thm)],[c_138,c_392]) ).
tcf(c_471,plain,
( ~ cnotAorB(sK9)
| ~ cA(sK9) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_497,plain,
! [X0: $i] :
( ~ cnotAorB(X0)
| ~ cB(X0) ),
inference(resolution,[status(thm)],[c_141,c_436]) ).
tcf(c_498,plain,
( ~ cnotAorB(sK9)
| ~ cB(sK9) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_511,plain,
( ~ cB(sK9)
| ~ cAorB(sK9)
| ~ xsd_integer(sK8) ),
inference(resolution,[status(thm)],[c_110,c_260]) ).
tcf(c_512,plain,
~ cB(sK9),
inference(global_subsumption_just,[status(thm)],[c_511,c_256,c_425,c_498,c_511]) ).
tcf(c_517,plain,
( ~ cAorB(sK9)
| ~ cA(sK9)
| ~ xsd_integer(sK8) ),
inference(resolution,[status(thm)],[c_110,c_259]) ).
tcf(c_518,plain,
~ cAorB(sK9),
inference(global_subsumption_just,[status(thm)],[c_517,c_255,c_415,c_447,c_460,c_512,c_517]) ).
tcf(c_523,plain,
( cB(sK9)
| cAorB(sK9)
| cA(sK9)
| ~ xsd_integer(sK8) ),
inference(resolution,[status(thm)],[c_110,c_258]) ).
tcf(c_524,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_523,c_518,c_512,c_471,c_425,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 19:33:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.50/1.29 % SZS status Started for theBenchmark.p
% 1.50/1.29 % SZS status Theorem for theBenchmark.p
% 1.50/1.29
% 1.50/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.29
% 1.50/1.29 % ------ iProver source info
% 1.50/1.29
% 1.50/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.29 % git: non_committed_changes: false
% 1.50/1.29
% 1.50/1.29 % ------ Parsing...
% 1.50/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.29
% 1.50/1.29 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.50/1.29
% 1.50/1.29 % SZS status Theorem for theBenchmark.p
% 1.50/1.29
% 1.50/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.29
% 1.50/1.29
%------------------------------------------------------------------------------