%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS130+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 : n003.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 01:54:13 PM UTC 2026
% Result : Theorem 1.28s 1.28s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 157 ( 63 ~; 68 |; 15 &)
% ( 7 <=>; 2 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 49 ( 0 sgn 40 !; 9 ?; 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(f3,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,conjecture,
( ! [X0] :
( cNothing(X0)
<=> cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( cNothing(X0)
<=> cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ ( ! [X2] :
( cNothing(X2)
<=> cowlNothing(X2) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ cNothing(X0)
| ! [X1] : ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ~ cNothing(X0)
| ? [X1] : rp(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
( ? [X2] :
( cNothing(X2)
<~> cowlNothing(X2) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f9]) ).
fof(f13,plain,
( ? [X2] :
( ( cNothing(X2)
| cowlNothing(X2) )
& ( ~ cNothing(X2)
| ~ cowlNothing(X2) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f14,plain,
( ( ( cNothing(sK3)
| cowlNothing(sK3) )
& ( ~ cNothing(sK3)
| ~ cowlNothing(sK3) ) )
| ( ( xsd_string(sK2)
| ~ xsd_integer(sK2) )
& ( ~ xsd_string(sK2)
| xsd_integer(sK2) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f13]) ).
fof(f15,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0,X1] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0] :
( ~ cNothing(X0)
| rp(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
( cNothing(sK3)
| cowlNothing(sK3)
| xsd_string(sK2)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
( cNothing(sK3)
| cowlNothing(sK3)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f16]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_54,plain,
! [X0: $i] :
( rp(X0,sK0(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_56,negated_conjecture,
( cNothing(sK3)
| xsd_integer(sK2)
| cowlNothing(sK3)
| cowlNothing(sK1)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_58,negated_conjecture,
( cNothing(sK3)
| xsd_string(sK2)
| cowlNothing(sK3)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_59,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_60,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_65,negated_conjecture,
( cNothing(sK3)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ xsd_integer(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_59,c_60,c_58]) ).
tcf(c_67,negated_conjecture,
( cNothing(sK3)
| xsd_integer(sK2)
| cowlNothing(sK3)
| ~ xsd_string(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_59,c_60,c_56]) ).
tcf(c_73,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_74,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_73]) ).
tcf(c_75,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_76,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_75]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_81,plain,
! [X0: $i] :
( rp(X0,sK0(X0))
| ~ cNothing(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_108,plain,
( cNothing(sK3)
| xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67,c_50]) ).
tcf(c_109,plain,
( cNothing(sK3)
| xsd_string(sK2)
| ~ xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_50]) ).
tcf(c_113,plain,
( cNothing(sK3)
| xsd_integer(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_108,c_76]) ).
tcf(c_115,plain,
( cNothing(sK3)
| xsd_string(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_109,c_76]) ).
tcf(c_131,plain,
! [X0: $i] : ~ cNothing(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_77]) ).
tcf(c_136,plain,
xsd_string(sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_115,c_131]) ).
tcf(c_137,plain,
xsd_integer(sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_113,c_131]) ).
tcf(c_143,plain,
~ xsd_integer(sK2),
inference(resolution,[status(thm)],[c_74,c_136]) ).
tcf(c_144,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_143,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS130+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:29:34 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 1.28/1.28 % SZS status Started for theBenchmark.p
% 1.28/1.28 % SZS status Theorem for theBenchmark.p
% 1.28/1.28
% 1.28/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.28/1.28
% 1.28/1.28 % ------ iProver source info
% 1.28/1.28
% 1.28/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.28/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.28/1.28 % git: non_committed_changes: false
% 1.28/1.28
% 1.28/1.28 % ------ Parsing...
% 1.28/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.28/1.28
% 1.28/1.28 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s %
% 1.28/1.28
% 1.28/1.28 % SZS status Theorem for theBenchmark.p
% 1.28/1.28
% 1.28/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.28/1.28
% 1.28/1.28
%------------------------------------------------------------------------------