%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS136+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 : n008.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 0.21s 1.19s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 45 ~; 37 |; 10 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 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 : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 21 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,conjecture,
( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ( ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f8,plain,
( ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f9,plain,
( ( ( 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]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
fof(f10,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f11]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_53,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_54,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_55,plain,
cowlThing(sK0),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_56,plain,
~ cowlNothing(sK0),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_59,negated_conjecture,
( xsd_string(sK1)
| ~ xsd_integer(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_55,c_56,c_54]) ).
tcf(c_61,negated_conjecture,
( xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_55,c_56,c_53]) ).
tcf(c_63,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_64,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_63]) ).
tcf(c_65,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_66,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_65]) ).
tcf(c_67,plain,
( ~ xsd_string(sK1)
| xsd_integer(sK1) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_68,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(renaming,[status(thm)],[c_67]) ).
tcf(c_69,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_92,plain,
xsd_integer(sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_66]) ).
tcf(c_94,plain,
xsd_string(sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_66]) ).
tcf(c_104,plain,
~ xsd_integer(sK1),
inference(resolution,[status(thm)],[c_64,c_94]) ).
tcf(c_105,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_104,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS136+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 : n008.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 19:29:54 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 0.21/1.19 % SZS status Started for theBenchmark.p
% 0.21/1.19 % SZS status Theorem for theBenchmark.p
% 0.21/1.19
% 0.21/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.21/1.19
% 0.21/1.19 % ------ iProver source info
% 0.21/1.19
% 0.21/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 0.21/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.21/1.19 % git: non_committed_changes: false
% 0.21/1.19
% 0.21/1.19 % ------ Parsing...
% 0.21/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.21/1.19 %
% 0.21/1.19
% 0.21/1.19 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s %
% 0.21/1.19
% 0.21/1.19 % SZS status Theorem for theBenchmark.p
% 0.21/1.19
% 0.21/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.21/1.19
% 0.21/1.19
%------------------------------------------------------------------------------