%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS166+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 : 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 01:54:19 PM UTC 2026
% Result : Theorem 1.06s 6.17s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 10 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 227 ( 93 ~; 108 |; 15 &)
% ( 7 <=>; 2 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 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 : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 35 !; 6 ?; 13 :)
% 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,axiom,
! [X0] :
( cAutomobile(X0)
=> cCar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cCar(X0)
=> cAutomobile(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,conjecture,
( ! [X0] :
( cCar(X0)
<=> cAutomobile(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( cCar(X0)
<=> cAutomobile(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ ( ! [X2] :
( cCar(X2)
<=> cAutomobile(X2) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
( ? [X2] :
( cCar(X2)
<~> cAutomobile(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,
( ? [X2] :
( ( cCar(X2)
| cAutomobile(X2) )
& ( ~ cCar(X2)
| ~ cAutomobile(X2) ) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
( ( ( cCar(sK2)
| cAutomobile(sK2) )
& ( ~ cCar(sK2)
| ~ cAutomobile(sK2) ) )
| ( ( 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,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f12]) ).
fof(f14,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
( cCar(sK2)
| cAutomobile(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
( ~ cCar(sK2)
| ~ cAutomobile(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
( cCar(sK2)
| cAutomobile(sK2)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
( ~ cCar(sK2)
| ~ cAutomobile(sK2)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_53,plain,
! [X0: $i] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_54,plain,
! [X0: $i] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_55,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cAutomobile(sK2)
| ~ cCar(sK2)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_56,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK2)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_57,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ cAutomobile(sK2)
| ~ cCar(sK2)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_58,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK2)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_59,plain,
cowlThing(sK0),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_60,plain,
~ cowlNothing(sK0),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_65,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_59,c_60,c_58]) ).
tcf(c_67,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK2)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_59,c_60,c_56]) ).
tcf(c_69,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cCar(sK2)
| ~ cAutomobile(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_59,c_60,c_57]) ).
tcf(c_70,negated_conjecture,
( xsd_string(sK1)
| ~ cAutomobile(sK2)
| ~ cCar(sK2)
| ~ xsd_integer(sK1) ),
inference(renaming,[status(thm)],[c_69]) ).
tcf(c_71,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cCar(sK2)
| ~ cAutomobile(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_59,c_60,c_55]) ).
tcf(c_72,negated_conjecture,
( xsd_integer(sK1)
| ~ cAutomobile(sK2)
| ~ cCar(sK2)
| ~ xsd_string(sK1) ),
inference(renaming,[status(thm)],[c_71]) ).
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] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_78,plain,
! [X0: $i] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(renaming,[status(thm)],[c_77]) ).
tcf(c_79,plain,
! [X0: $i] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_110,plain,
( cAutomobile(sK2)
| cCar(sK2)
| xsd_integer(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67,c_76]) ).
tcf(c_111,plain,
( xsd_integer(sK1)
| ~ cAutomobile(sK2)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_72,c_76]) ).
tcf(c_113,plain,
( cAutomobile(sK2)
| cCar(sK2)
| xsd_string(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_76]) ).
tcf(c_114,plain,
( xsd_string(sK1)
| ~ cAutomobile(sK2)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70,c_76]) ).
tcf(c_118,plain,
( cAutomobile(sK2)
| xsd_integer(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_78]) ).
tcf(c_119,plain,
( cAutomobile(sK2)
| xsd_string(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_113,c_78]) ).
tcf(c_121,plain,
( xsd_integer(sK1)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_111,c_78]) ).
tcf(c_122,plain,
( xsd_string(sK1)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_114,c_78]) ).
tcf(c_148,plain,
( ~ cCar(sK2)
| ~ xsd_integer(sK1) ),
inference(resolution,[status(thm)],[c_74,c_122]) ).
tcf(c_149,plain,
~ cCar(sK2),
inference(global_subsumption_just,[status(thm)],[c_148,c_121,c_148]) ).
tcf(c_154,plain,
( cAutomobile(sK2)
| ~ xsd_integer(sK1) ),
inference(resolution,[status(thm)],[c_74,c_119]) ).
tcf(c_155,plain,
cAutomobile(sK2),
inference(global_subsumption_just,[status(thm)],[c_154,c_118,c_154]) ).
tcf(c_163,plain,
~ cAutomobile(sK2),
inference(resolution,[status(thm)],[c_79,c_149]) ).
tcf(c_164,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_163,c_155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS166+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n018.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 19:35:53 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 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
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.43 % Proving...
% 1.06/6.17 % SZS status Started for theBenchmark.p
% 1.06/6.17 % SZS status Theorem for theBenchmark.p
% 1.06/6.17
% 1.06/6.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.06/6.17
% 1.06/6.17 % ------ iProver source info
% 1.06/6.17
% 1.06/6.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.06/6.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.06/6.17 % git: non_committed_changes: false
% 1.06/6.17
% 1.06/6.17 % ------ Parsing...
% 1.06/6.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.06/6.17 %
% 1.06/6.17
% 1.06/6.17 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.06/6.17
% 1.06/6.17 % SZS status Theorem for theBenchmark.p
% 1.06/6.17
% 1.06/6.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.06/6.17
% 1.06/6.17
%------------------------------------------------------------------------------