%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS163+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 : n007.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 01:54:19 PM UTC 2026
% Result : Theorem 1.41s 6.53s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 127 ( 17 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 152 ( 67 ~; 60 |; 20 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 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 : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 23 !; 4 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
cA(ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
cB(ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f13,axiom,
! [X0] :
~ ( cA(X0)
& cB(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f14,conjecture,
( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f15,negated_conjecture,
~ ( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
~ ( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f15]) ).
fof(f29,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f30,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f32,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f33,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ( ( 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)],[f32]) ).
fof(f40,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f41,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f42,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f43,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f44,plain,
cA(ia),
inference(cnf_transformation,[],[f9]) ).
fof(f46,plain,
cB(ib),
inference(cnf_transformation,[],[f11]) ).
fof(f48,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f41]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f40]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_53,plain,
cA(ia),
inference(cnf_transformation,[],[f44]) ).
tcf(c_55,plain,
cB(ib),
inference(cnf_transformation,[],[f46]) ).
tcf(c_57,plain,
! [X0: $i] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_58,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ( ia = ib )
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(ib)
| ~ cowlThing(ia) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_59,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ( ia = ib )
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(ib)
| ~ cowlThing(ia) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_74,plain,
( xsd_integer(sK1)
| ( ia = ib )
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58,c_50,c_49,c_49,c_49]) ).
tcf(c_78,plain,
( xsd_integer(sK1)
| ( ia = ib ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74,c_51]) ).
tcf(c_85,plain,
( xsd_string(sK1)
| ( ia = ib )
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_50,c_49,c_49,c_49]) ).
tcf(c_89,plain,
( xsd_string(sK1)
| ( ia = ib ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85,c_51]) ).
tcf(c_103,plain,
! [X0: $i] :
( ~ cB(X0)
| ( X0 != ia ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
tcf(c_104,plain,
~ cB(ia),
inference(unflattening,[status(thm)],[c_103]) ).
tcf(c_109,plain,
ia != ib,
inference(resolution_lifted,[status(thm)],[c_55,c_104]) ).
tcf(c_115,plain,
xsd_string(sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_89,c_109]) ).
tcf(c_118,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_115]) ).
tcf(c_119,plain,
~ xsd_integer(sK1),
inference(unflattening,[status(thm)],[c_118]) ).
tcf(c_120,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_119,c_109,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.60 % Computer : n007.cluster.edu
% 0.13/5.60 % Model : x86_64 x86_64
% 0.13/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.60 % Memory : 8046.5625MB
% 0.13/5.60 % OS : Linux 6.8.0-71-generic
% 0.13/5.60 % CPULimit : 300
% 0.13/5.60 % WCLimit : 300
% 0.13/5.60 % DateTime : Wed Sep 23 19:31:58 UTC 2026
% 0.13/5.60 % CPUTime :
% 0.13/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.64 Running first-order theorem proving
% 0.13/5.64 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
% 0.13/5.65
% 0.13/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.65
% 0.13/5.66 % Detected problem language: tptp
% 0.13/5.67 % Proving...
% 1.41/6.53 % SZS status Started for theBenchmark.p
% 1.41/6.53 % SZS status Theorem for theBenchmark.p
% 1.41/6.53
% 1.41/6.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.41/6.53
% 1.41/6.53 % ------ iProver source info
% 1.41/6.53
% 1.41/6.53 % git: date: 2026-07-19 20:42:38 +0200
% 1.41/6.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.41/6.53 % git: non_committed_changes: false
% 1.41/6.53
% 1.41/6.53 % ------ Parsing...
% 1.41/6.53 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.41/6.53 %
% 1.41/6.53
% 1.41/6.53 % ------ Preprocessing... sup_sim: 4 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.41/6.53
% 1.41/6.53 % SZS status Theorem for theBenchmark.p
% 1.41/6.53
% 1.41/6.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.41/6.53
% 1.41/6.53
%------------------------------------------------------------------------------