%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS149+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 : n018.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 01:54:16 PM UTC 2026
% Result : Theorem 2.46s 11.31s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 76 ( 14 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 356 ( 148 ~; 146 |; 52 &)
% ( 8 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 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 : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn 47 !; 4 ?; 15 :)
% 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(f66,axiom,
! [X0] :
( cC216(X0)
<=> ( cC64(X0)
& ~ cC214(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f71,axiom,
! [X0] :
( cC30(X0)
<=> ( cC28(X0)
& cC14(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(f79,axiom,
! [X0] :
( cC46(X0)
<=> ( cC44(X0)
& cC30(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
fof(f108,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC46(X0)
& cC216(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).
fof(f109,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
fof(f110,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
fof(f126,conjecture,
( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f127,negated_conjecture,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f126]) ).
fof(f128,plain,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0] :
( cTEST(X0)
=> ( cC46(X0)
& cC216(X0) ) ),
inference(unused_predicate_definition_removal,[],[f108]) ).
fof(f130,plain,
! [X0] :
( ~ cTEST(X0)
| ( cC46(X0)
& cC216(X0) ) ),
inference(ennf_transformation,[],[f129]) ).
fof(f136,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f137,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f297,plain,
! [X0] :
( ( ~ cC216(X0)
| ( cC64(X0)
& ~ cC214(X0) ) )
& ( ~ cC64(X0)
| cC214(X0)
| cC216(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f298,plain,
! [X0] :
( ( ~ cC216(X0)
| ( cC64(X0)
& ~ cC214(X0) ) )
& ( ~ cC64(X0)
| cC214(X0)
| cC216(X0) ) ),
inference(flattening,[],[f297]) ).
fof(f309,plain,
! [X0] :
( ( ~ cC30(X0)
| ( cC28(X0)
& cC14(X0) ) )
& ( ~ cC28(X0)
| ~ cC14(X0)
| cC30(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f310,plain,
! [X0] :
( ( ~ cC30(X0)
| ( cC28(X0)
& cC14(X0) ) )
& ( ~ cC28(X0)
| ~ cC14(X0)
| cC30(X0) ) ),
inference(flattening,[],[f309]) ).
fof(f329,plain,
! [X0] :
( ( ~ cC46(X0)
| ( cC44(X0)
& cC30(X0) ) )
& ( ~ cC44(X0)
| ~ cC30(X0)
| cC46(X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f330,plain,
! [X0] :
( ( ~ cC46(X0)
| ( cC44(X0)
& cC30(X0) ) )
& ( ~ cC44(X0)
| ~ cC30(X0)
| cC46(X0) ) ),
inference(flattening,[],[f329]) ).
fof(f402,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f403,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ( ( xsd_string(sK55)
| ~ xsd_integer(sK55) )
& ( ~ xsd_string(sK55)
| xsd_integer(sK55) ) )
| cowlNothing(sK54)
| ~ cowlThing(sK54) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55]),skolemize(X0,sK54),skolemize(X1,sK55)],[f402]) ).
fof(f404,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f405,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f406,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f407,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f597,plain,
! [X0] :
( ~ cC216(X0)
| cC64(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f612,plain,
! [X0] :
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f613,plain,
! [X0] :
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f636,plain,
! [X0] :
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f637,plain,
! [X0] :
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f723,plain,
! [X0] :
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f724,plain,
! [X0] :
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f725,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f109]) ).
fof(f726,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f110]) ).
fof(f742,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| xsd_string(sK55)
| ~ xsd_integer(sK55)
| cowlNothing(sK54)
| ~ cowlThing(sK54) ),
inference(cnf_transformation,[],[f403]) ).
fof(f743,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_string(sK55)
| xsd_integer(sK55)
| cowlNothing(sK54)
| ~ cowlThing(sK54) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f405]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f404]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_244,plain,
! [X0: $i] :
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[],[f597]) ).
tcf(c_258,plain,
! [X0: $i] :
( cC14(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_259,plain,
! [X0: $i] :
( cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f612]) ).
tcf(c_282,plain,
! [X0: $i] :
( cC30(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_283,plain,
! [X0: $i] :
( cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_368,plain,
! [X0: $i] :
( cC216(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f724]) ).
tcf(c_369,plain,
! [X0: $i] :
( cC46(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f723]) ).
tcf(c_370,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f725]) ).
tcf(c_371,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f726]) ).
tcf(c_387,negated_conjecture,
( xsd_integer(sK55)
| cowlNothing(sK54)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string(sK55)
| ~ cowlThing(sK54)
| ~ cowlThing(iV3102) ),
inference(cnf_transformation,[],[f743]) ).
tcf(c_388,negated_conjecture,
( xsd_string(sK55)
| cowlNothing(sK54)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer(sK55)
| ~ cowlThing(sK54)
| ~ cowlThing(iV3102) ),
inference(cnf_transformation,[],[f742]) ).
tcf(c_391,plain,
( cC46(iV3102)
| ~ cTEST(iV3102) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_392,plain,
( cC216(iV3102)
| ~ cTEST(iV3102) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_405,plain,
( cC44(iV3102)
| ~ cC46(iV3102) ),
inference(instantiation,[status(thm)],[c_283]) ).
tcf(c_406,plain,
( cC30(iV3102)
| ~ cC46(iV3102) ),
inference(instantiation,[status(thm)],[c_282]) ).
tcf(c_409,plain,
( cC28(iV3102)
| ~ cC30(iV3102) ),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_410,plain,
( cC14(iV3102)
| ~ cC30(iV3102) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_411,plain,
( cC64(iV3102)
| ~ cC216(iV3102) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_655,plain,
( xsd_string(sK55)
| cowlNothing(sK54)
| ~ cowlThing(sK54)
| ~ xsd_integer(sK55) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_371,c_370,c_391,c_392,c_405,c_406,c_409,c_410,c_411,c_388]) ).
tcf(c_656,negated_conjecture,
( xsd_string(sK55)
| cowlNothing(sK54)
| ~ xsd_integer(sK55)
| ~ cowlThing(sK54) ),
inference(renaming,[status(thm)],[c_655]) ).
tcf(c_657,plain,
( xsd_integer(sK55)
| cowlNothing(sK54)
| ~ cowlThing(sK54)
| ~ xsd_string(sK55) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_371,c_370,c_391,c_392,c_405,c_406,c_409,c_410,c_411,c_387]) ).
tcf(c_658,negated_conjecture,
( xsd_integer(sK55)
| cowlNothing(sK54)
| ~ xsd_string(sK55)
| ~ cowlThing(sK54) ),
inference(renaming,[status(thm)],[c_657]) ).
tcf(c_659,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_660,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_659]) ).
tcf(c_661,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_662,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_661]) ).
tcf(c_1928,plain,
( xsd_integer(sK55)
| cowlNothing(sK54)
| ~ xsd_string(sK55) ),
inference(backward_subsumption_resolution,[status(thm)],[c_658,c_49]) ).
tcf(c_1929,plain,
( xsd_string(sK55)
| cowlNothing(sK54)
| ~ xsd_integer(sK55) ),
inference(backward_subsumption_resolution,[status(thm)],[c_656,c_49]) ).
tcf(c_1936,plain,
( xsd_string(sK55)
| ~ xsd_integer(sK55) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1929,c_50]) ).
tcf(c_1937,plain,
( xsd_integer(sK55)
| ~ xsd_string(sK55) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1928,c_50]) ).
tcf(c_1959,plain,
xsd_integer(sK55),
inference(backward_subsumption_resolution,[status(thm)],[c_1937,c_662]) ).
tcf(c_1961,plain,
xsd_string(sK55),
inference(backward_subsumption_resolution,[status(thm)],[c_1936,c_662]) ).
tcf(c_3479,plain,
~ xsd_integer(sK55),
inference(resolution,[status(thm)],[c_660,c_1961]) ).
tcf(c_3480,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3479,c_1959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS149+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.39 % Computer : n018.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Wed Sep 23 19:34:12 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.45
% 0.15/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.45
% 0.15/10.45 % Detected problem language: tptp
% 0.15/10.46 % Proving...
% 2.46/11.31 % SZS status Started for theBenchmark.p
% 2.46/11.31 % SZS status Theorem for theBenchmark.p
% 2.46/11.31
% 2.46/11.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.46/11.31
% 2.46/11.31 % ------ iProver source info
% 2.46/11.31
% 2.46/11.31 % git: date: 2026-07-19 20:42:38 +0200
% 2.46/11.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.46/11.31 % git: non_committed_changes: false
% 2.46/11.31
% 2.46/11.31 % ------ Parsing...
% 2.46/11.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.46/11.31
% 2.46/11.31 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s%
% 2.46/11.31
% 2.46/11.31 % SZS status Theorem for theBenchmark.p
% 2.46/11.31
% 2.46/11.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/11.31
% 2.46/11.31
%------------------------------------------------------------------------------