%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 12:59:50 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 9
% Syntax : Number of formulae : 138 ( 14 unt; 1 def)
% Number of atoms : 711 ( 324 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 769 ( 196 ~; 464 |; 97 &)
% ( 4 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 157 ( 112 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] :
( rp(X,Y)
=> cA(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( rq(X,Y)
=> cB(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
~ ( cA(X)
& cB(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( rq(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( rp(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
( ! [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
=> ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ( ! [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
=> ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f58,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f59,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f61,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f62,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f65,plain,
! [X,Y] :
( cA(Y)
| ~ rp(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f66,plain,
! [Y] :
( cA(Y)
| ! [X] : ~ rp(X,Y) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( cA(X1)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X,Y] :
( cB(Y)
| ~ rq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
! [Y] :
( cB(Y)
| ! [X] : ~ rq(X,Y) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( cB(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X] :
( ~ cA(X)
| ~ cB(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X,Y] :
( rr(X,Y)
| ~ rq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f74,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [X,Y] :
( rr(X,Y)
| ~ rp(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f76,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
( ? [X] :
( ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f78,definition,
! [X] :
( sP0_prd(X)
<=> ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f79,plain,
( ? [X] :
( ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
| ? [X] : sP0_prd(X)
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(formula_renaming,[status(thm)],[f77,f78]) ).
fof(f80,plain,
( ? [X] :
( ! [Y3,Y4] :
( Y3 = Y4
| ! [Y2] :
( Y2 = Y4
| Y2 = Y3
| ! [Y1] :
( Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| ! [Y0] :
( Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) ) ) ) )
& ? [Y1,Y2] :
( Y1 != Y2
& ? [Y0] :
( Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) ) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
| ? [X] : sP0_prd(X)
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
( ( ! [Y3,Y4] :
( Y3 = Y4
| ! [Y2] :
( Y2 = Y4
| Y2 = Y3
| ! [Y1] :
( Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| ! [Y0] :
( Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(sK3_skl,Y4)
| ~ rr(sK3_skl,Y3)
| ~ rr(sK3_skl,Y2)
| ~ rr(sK3_skl,Y1)
| ~ rr(sK3_skl,Y0) ) ) ) )
& sK6_skl != sK7_skl
& sK8_skl != sK7_skl
& sK8_skl != sK6_skl
& rq(sK3_skl,sK7_skl)
& rq(sK3_skl,sK6_skl)
& rq(sK3_skl,sK8_skl)
& sK4_skl != sK5_skl
& rp(sK3_skl,sK5_skl)
& rp(sK3_skl,sK4_skl) )
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(Y0,sK4_skl),skolemize(Y1,sK5_skl),skolemize(Y1,sK6_skl),skolemize(Y2,sK7_skl),skolemize(Y0,sK8_skl)],[f80]) ).
fof(f82,plain,
( rp(sK3_skl,sK4_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
( rp(sK3_skl,sK5_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f84,plain,
( sK4_skl != sK5_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
( rq(sK3_skl,sK8_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f86,plain,
( rq(sK3_skl,sK6_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f87,plain,
( rq(sK3_skl,sK7_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f88,plain,
( sK8_skl != sK6_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f89,plain,
( sK8_skl != sK7_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f90,plain,
( sK6_skl != sK7_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ rr(sK3_skl,X4)
| ~ rr(sK3_skl,X3)
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f92,plain,
! [X] :
( ( ( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) )
| sP0_prd(X) )
& ( ( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ~ sP0_prd(X) ) ),
inference(NNF_transformation,[status(thm)],[f78]) ).
fof(f93,plain,
( ! [X] :
( ( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) )
| sP0_prd(X) )
& ! [X] :
( ( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ~ sP0_prd(X) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f100,plain,
( rp(sK3_skl,sK4_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f82,f59]) ).
fof(f101,plain,
( sK8_skl != sK6_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f88,f59]) ).
fof(f102,plain,
( sK4_skl != sK5_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f84,f59]) ).
fof(f103,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f94,f63]) ).
fof(f104,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f95,f63]) ).
fof(f106,plain,
( sK8_skl != sK6_skl
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f60]) ).
fof(f107,plain,
( sK4_skl != sK5_skl
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f60]) ).
fof(f108,plain,
( rp(sK3_skl,sK4_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f60]) ).
fof(f109,plain,
( rr(sK3_skl,sK4_skl)
| sP0_prd(sK2_skl) ),
inference(resolution,[status(thm)],[f108,f76]) ).
fof(f110,plain,
( rp(sK3_skl,sK5_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f59]) ).
fof(f111,plain,
( rr(sK3_skl,sK5_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f110,f76]) ).
fof(f112,plain,
( rr(sK3_skl,sK5_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f60]) ).
fof(f113,plain,
( rq(sK3_skl,sK8_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f59]) ).
fof(f114,plain,
( rr(sK3_skl,sK8_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f113,f74]) ).
fof(f115,plain,
( rr(sK3_skl,sK8_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f60]) ).
fof(f116,plain,
( sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| cA(sK5_skl) ),
inference(resolution,[status(thm)],[f67,f110]) ).
fof(f117,plain,
( sP0_prd(sK2_skl)
| cA(sK4_skl) ),
inference(resolution,[status(thm)],[f67,f108]) ).
fof(f118,plain,
( sP0_prd(sK2_skl)
| cA(sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f60]) ).
fof(f119,plain,
( sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| cB(sK8_skl) ),
inference(resolution,[status(thm)],[f70,f113]) ).
fof(f120,plain,
( sP0_prd(sK2_skl)
| cB(sK8_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f60]) ).
fof(f121,plain,
( ~ xsd_string(sK2_skl)
| cA(sK5_skl) ),
inference(resolution,[status(thm)],[f118,f104]) ).
fof(f122,plain,
( ~ xsd_integer(sK2_skl)
| cA(sK5_skl) ),
inference(resolution,[status(thm)],[f118,f103]) ).
fof(f123,plain,
( ~ xsd_string(sK2_skl)
| cA(sK4_skl) ),
inference(resolution,[status(thm)],[f117,f104]) ).
fof(f124,plain,
( ~ xsd_integer(sK2_skl)
| cA(sK4_skl) ),
inference(resolution,[status(thm)],[f117,f103]) ).
fof(f125,plain,
( ~ xsd_string(sK2_skl)
| cB(sK8_skl) ),
inference(resolution,[status(thm)],[f120,f104]) ).
fof(f126,plain,
( ~ xsd_integer(sK2_skl)
| cB(sK8_skl) ),
inference(resolution,[status(thm)],[f120,f103]) ).
fof(f127,plain,
( xsd_string(sK2_skl)
| cA(sK5_skl) ),
inference(resolution,[status(thm)],[f122,f64]) ).
fof(f128,plain,
cA(sK5_skl),
inference(forward_subsumption_resolution,[status(thm)],[f127,f121]) ).
fof(f129,plain,
~ cB(sK5_skl),
inference(resolution,[status(thm)],[f128,f72]) ).
fof(f130,plain,
( xsd_string(sK2_skl)
| cA(sK4_skl) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f131,plain,
cA(sK4_skl),
inference(forward_subsumption_resolution,[status(thm)],[f130,f123]) ).
fof(f132,plain,
~ cB(sK4_skl),
inference(resolution,[status(thm)],[f131,f72]) ).
fof(f133,plain,
( xsd_string(sK2_skl)
| cB(sK8_skl) ),
inference(resolution,[status(thm)],[f126,f64]) ).
fof(f134,plain,
cB(sK8_skl),
inference(forward_subsumption_resolution,[status(thm)],[f133,f125]) ).
fof(f135,plain,
( rq(sK3_skl,sK6_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f59]) ).
fof(f136,plain,
( cB(sK6_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f135,f70]) ).
fof(f137,plain,
( rr(sK3_skl,sK6_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f135,f74]) ).
fof(f138,plain,
( cB(sK6_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f60]) ).
fof(f139,plain,
( rr(sK3_skl,sK6_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f60]) ).
fof(f140,plain,
( rq(sK3_skl,sK7_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f59]) ).
fof(f141,plain,
( cB(sK7_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f140,f70]) ).
fof(f142,plain,
( rr(sK3_skl,sK7_skl)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f140,f74]) ).
fof(f143,plain,
( cB(sK7_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f60]) ).
fof(f144,plain,
( rr(sK3_skl,sK7_skl)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f60]) ).
fof(f145,plain,
( sK8_skl != sK7_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f59]) ).
fof(f146,plain,
( ~ xsd_string(sK2_skl)
| cB(sK6_skl) ),
inference(resolution,[status(thm)],[f138,f104]) ).
fof(f147,plain,
( ~ xsd_integer(sK2_skl)
| cB(sK6_skl) ),
inference(resolution,[status(thm)],[f138,f103]) ).
fof(f148,plain,
( ~ xsd_string(sK2_skl)
| cB(sK7_skl) ),
inference(resolution,[status(thm)],[f143,f104]) ).
fof(f149,plain,
( ~ xsd_integer(sK2_skl)
| cB(sK7_skl) ),
inference(resolution,[status(thm)],[f143,f103]) ).
fof(f150,plain,
( xsd_string(sK2_skl)
| cB(sK6_skl) ),
inference(resolution,[status(thm)],[f147,f64]) ).
fof(f151,plain,
cB(sK6_skl),
inference(forward_subsumption_resolution,[status(thm)],[f150,f146]) ).
fof(f152,plain,
( sK6_skl != sK7_skl
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f59]) ).
fof(f153,plain,
( xsd_string(sK2_skl)
| cB(sK7_skl) ),
inference(resolution,[status(thm)],[f149,f64]) ).
fof(f154,plain,
cB(sK7_skl),
inference(forward_subsumption_resolution,[status(thm)],[f153,f148]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ rr(sK3_skl,X4)
| ~ rr(sK3_skl,X3)
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f59]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( sP0_prd(sK2_skl)
| X2 = X3
| X1 = X3
| X1 = X2
| X0 = X3
| X0 = X2
| X0 = X1
| sK7_skl = X3
| sK7_skl = X2
| sK7_skl = X1
| sK7_skl = X0
| ~ rr(sK3_skl,X3)
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(resolution,[status(thm)],[f155,f144]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| X0 = X3
| X0 = X2
| X0 = X1
| sK7_skl = X3
| sK7_skl = X2
| sK7_skl = X1
| sK7_skl = X0
| ~ rr(sK3_skl,X3)
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f156]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| X0 = X3
| X0 = X2
| X0 = X1
| sK7_skl = X3
| sK7_skl = X2
| sK7_skl = X1
| sK7_skl = X0
| ~ rr(sK3_skl,X3)
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f161,f60]) ).
fof(f172,plain,
! [X0,X1,X2] :
( sP0_prd(sK2_skl)
| X1 = X2
| X0 = X2
| X0 = X1
| sK6_skl = X2
| sK6_skl = X1
| sK6_skl = X0
| sK7_skl = X2
| sK7_skl = X1
| sK7_skl = X0
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(resolution,[status(thm)],[f162,f139]) ).
fof(f176,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK6_skl = X2
| sK6_skl = X1
| sK6_skl = X0
| sK7_skl = X2
| sK7_skl = X1
| sK7_skl = X0
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X2)
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f172]) ).
fof(f182,plain,
! [X0,X1] :
( sP0_prd(sK2_skl)
| X0 = X1
| sK8_skl = X1
| sK8_skl = X0
| sK6_skl = X1
| sK6_skl = X0
| sK6_skl = sK8_skl
| sK7_skl = X1
| sK7_skl = X0
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(resolution,[status(thm)],[f176,f115]) ).
fof(f185,plain,
! [X0,X1] :
( X0 = X1
| sK8_skl = X1
| sK8_skl = X0
| sK6_skl = X1
| sK6_skl = X0
| sK6_skl = sK8_skl
| sK7_skl = X1
| sK7_skl = X0
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f182]) ).
fof(f186,plain,
! [X0,X1] :
( X0 = X1
| sK8_skl = X1
| sK8_skl = X0
| sK6_skl = X1
| sK6_skl = X0
| sK7_skl = X1
| sK7_skl = X0
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X1)
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f106]) ).
fof(f192,plain,
! [X0] :
( sP0_prd(sK2_skl)
| sK5_skl = X0
| sK8_skl = X0
| sK8_skl = sK5_skl
| sK6_skl = X0
| sK6_skl = sK5_skl
| sK7_skl = X0
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(resolution,[status(thm)],[f186,f112]) ).
fof(f194,plain,
! [X0] :
( sK5_skl = X0
| sK8_skl = X0
| sK8_skl = sK5_skl
| sK6_skl = X0
| sK6_skl = sK5_skl
| sK7_skl = X0
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ rr(sK3_skl,X0)
| sP0_prd(sK2_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f192]) ).
fof(f200,plain,
( sP0_prd(sK2_skl)
| sK5_skl = sK4_skl
| sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| sP0_prd(sK2_skl) ),
inference(resolution,[status(thm)],[f194,f109]) ).
fof(f201,plain,
( sK5_skl = sK4_skl
| sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| sP0_prd(sK2_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f200]) ).
fof(f202,plain,
( sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| sP0_prd(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f107]) ).
fof(f203,plain,
( ~ xsd_string(sK2_skl)
| sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(resolution,[status(thm)],[f202,f104]) ).
fof(f204,plain,
( ~ xsd_integer(sK2_skl)
| sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(resolution,[status(thm)],[f202,f103]) ).
fof(f225,plain,
( xsd_string(sK2_skl)
| sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(resolution,[status(thm)],[f204,f64]) ).
fof(f226,plain,
( sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK4_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f203]) ).
fof(f227,plain,
( sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ cB(sK6_skl) ),
inference(paramodulation,[status(thm)],[f226,f132]) ).
fof(f234,plain,
( sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK5_skl
| sK7_skl = sK4_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f151]) ).
fof(f235,plain,
( sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK5_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ cB(sK7_skl) ),
inference(paramodulation,[status(thm)],[f234,f132]) ).
fof(f241,plain,
( sK8_skl = sK4_skl
| sK8_skl = sK5_skl
| sK6_skl = sK5_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f154]) ).
fof(f242,plain,
( sK8_skl = sK5_skl
| sK6_skl = sK5_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ cB(sK8_skl) ),
inference(paramodulation,[status(thm)],[f241,f132]) ).
fof(f247,plain,
( sK8_skl = sK5_skl
| sK6_skl = sK5_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f134]) ).
fof(f249,plain,
( sK8_skl = sK5_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ cB(sK6_skl) ),
inference(paramodulation,[status(thm)],[f247,f129]) ).
fof(f254,plain,
( sK8_skl = sK5_skl
| sK7_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f151]) ).
fof(f257,plain,
( sK8_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ cB(sK7_skl) ),
inference(paramodulation,[status(thm)],[f254,f129]) ).
fof(f261,plain,
( sK8_skl = sK5_skl
| sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f154]) ).
fof(f264,plain,
( sK7_skl = sK8_skl
| sK7_skl = sK6_skl
| ~ cB(sK8_skl) ),
inference(paramodulation,[status(thm)],[f261,f129]) ).
fof(f267,plain,
( sK7_skl = sK8_skl
| sK7_skl = sK6_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f134]) ).
fof(f269,plain,
( sP0_prd(sK2_skl)
| cowlNothing(sK1_skl)
| sK7_skl = sK8_skl ),
inference(resolution,[status(thm)],[f267,f152]) ).
fof(f275,plain,
( sP0_prd(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f145]) ).
fof(f278,plain,
sP0_prd(sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f275,f60]) ).
fof(f279,plain,
~ xsd_string(sK2_skl),
inference(resolution,[status(thm)],[f278,f104]) ).
fof(f280,plain,
~ xsd_integer(sK2_skl),
inference(resolution,[status(thm)],[f278,f103]) ).
fof(f281,plain,
xsd_string(sK2_skl),
inference(resolution,[status(thm)],[f280,f64]) ).
fof(f282,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f281,f279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 22:54:36 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.052202 seconds
% 0.13/0.41 % CPU time: 0.171652 seconds
% 0.13/0.41 % Total memory used: 77.090 MB
% 0.13/0.41 % Net memory used: 76.792 MB
%------------------------------------------------------------------------------