%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS165+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 0.49s 1.29s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 77 ( 7 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 359 ( 142 ~; 182 |; 23 &)
% ( 5 <=>; 6 =>; 0 <=; 1 <~>)
% 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 33 !; 8 ?; 10 :)
% 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] :
( cCar(X0)
<=> cAutomobile(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,conjecture,
( ! [X0] :
( cCar(X0)
=> cAutomobile(X0) )
& ! [X0] :
( cAutomobile(X0)
=> cCar(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( cCar(X0)
=> cAutomobile(X0) )
& ! [X0] :
( cAutomobile(X0)
=> cCar(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ ( ! [X3] :
( cCar(X3)
=> cAutomobile(X3) )
& ! [X2] :
( cAutomobile(X2)
=> cCar(X2) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ? [X3] :
( cCar(X3)
& ~ cAutomobile(X3) )
| ? [X2] :
( cAutomobile(X2)
& ~ cCar(X2) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ( ~ xsd_string(X0)
| ~ xsd_integer(X0) )
& ( xsd_integer(X0)
| xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0] :
( ( ~ cCar(X0)
| cAutomobile(X0) )
& ( ~ cAutomobile(X0)
| cCar(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f10,plain,
( ? [X3] :
( cCar(X3)
& ~ cAutomobile(X3) )
| ? [X2] :
( cAutomobile(X2)
& ~ cCar(X2) )
| ? [X1] :
( ( xsd_string(X1)
| ~ xsd_integer(X1) )
& ( ~ xsd_string(X1)
| xsd_integer(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f11,plain,
( ( cCar(sK3)
& ~ cAutomobile(sK3) )
| ( cAutomobile(sK2)
& ~ cCar(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,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f10]) ).
fof(f12,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( cCar(sK3)
| cAutomobile(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
( ~ cAutomobile(sK3)
| cAutomobile(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
( cCar(sK3)
| ~ cCar(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
( ~ cAutomobile(sK3)
| ~ cCar(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
( cCar(sK3)
| cAutomobile(sK2)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
( ~ cAutomobile(sK3)
| cAutomobile(sK2)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
( cCar(sK3)
| ~ cCar(sK2)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f25,plain,
( ~ cAutomobile(sK3)
| ~ cCar(sK2)
| ~ xsd_string(sK1)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
tcf(c_50,plain,
! [X0: $i] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_51,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_53,plain,
! [X0: $i] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_54,plain,
! [X0: $i] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_55,negated_conjecture,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cAutomobile(sK3)
| ~ cCar(sK2)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_56,negated_conjecture,
( cCar(sK3)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cCar(sK2)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_57,negated_conjecture,
( cAutomobile(sK2)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cAutomobile(sK3)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_58,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK3)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_59,negated_conjecture,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ cAutomobile(sK3)
| ~ cCar(sK2)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_60,negated_conjecture,
( cCar(sK3)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cCar(sK2)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_61,negated_conjecture,
( cAutomobile(sK2)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cAutomobile(sK3)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_62,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK3)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_63,plain,
cowlThing(sK0),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_64,plain,
~ cowlNothing(sK0),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_69,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK3)
| xsd_string(sK1)
| ~ xsd_integer(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_63,c_64,c_62]) ).
tcf(c_71,negated_conjecture,
( cAutomobile(sK2)
| cCar(sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_63,c_64,c_58]) ).
tcf(c_73,plain,
( cAutomobile(sK2)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cAutomobile(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_63,c_64,c_61]) ).
tcf(c_74,negated_conjecture,
( cAutomobile(sK2)
| xsd_string(sK1)
| ~ cAutomobile(sK3)
| ~ xsd_integer(sK1) ),
inference(renaming,[status(thm)],[c_73]) ).
tcf(c_75,plain,
( cCar(sK3)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cCar(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_63,c_64,c_60]) ).
tcf(c_76,negated_conjecture,
( cCar(sK3)
| xsd_string(sK1)
| ~ cCar(sK2)
| ~ xsd_integer(sK1) ),
inference(renaming,[status(thm)],[c_75]) ).
tcf(c_77,plain,
( cAutomobile(sK2)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cAutomobile(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_63,c_64,c_57]) ).
tcf(c_78,negated_conjecture,
( cAutomobile(sK2)
| xsd_integer(sK1)
| ~ cAutomobile(sK3)
| ~ xsd_string(sK1) ),
inference(renaming,[status(thm)],[c_77]) ).
tcf(c_79,plain,
( cCar(sK3)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cCar(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_63,c_64,c_56]) ).
tcf(c_80,negated_conjecture,
( cCar(sK3)
| xsd_integer(sK1)
| ~ cCar(sK2)
| ~ xsd_string(sK1) ),
inference(renaming,[status(thm)],[c_79]) ).
tcf(c_81,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cCar(sK2)
| ~ cAutomobile(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_63,c_64,c_59]) ).
tcf(c_82,negated_conjecture,
( xsd_string(sK1)
| ~ cAutomobile(sK3)
| ~ cCar(sK2)
| ~ xsd_integer(sK1) ),
inference(renaming,[status(thm)],[c_81]) ).
tcf(c_83,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cCar(sK2)
| ~ cAutomobile(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_63,c_64,c_55]) ).
tcf(c_84,negated_conjecture,
( xsd_integer(sK1)
| ~ cAutomobile(sK3)
| ~ cCar(sK2)
| ~ xsd_string(sK1) ),
inference(renaming,[status(thm)],[c_83]) ).
tcf(c_85,plain,
! [X0: $i] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
tcf(c_86,plain,
! [X0: $i] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_87,plain,
! [X0: $i] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_88,plain,
! [X0: $i] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(renaming,[status(thm)],[c_87]) ).
tcf(c_122,plain,
( cAutomobile(sK2)
| cCar(sK3)
| xsd_integer(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_71,c_88]) ).
tcf(c_123,plain,
( xsd_integer(sK1)
| ~ cAutomobile(sK3)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_88]) ).
tcf(c_124,plain,
( cCar(sK3)
| xsd_integer(sK1)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_88]) ).
tcf(c_127,plain,
( cAutomobile(sK2)
| cCar(sK3)
| xsd_string(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_88]) ).
tcf(c_128,plain,
( xsd_string(sK1)
| ~ cAutomobile(sK3)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_82,c_88]) ).
tcf(c_129,plain,
( cCar(sK3)
| xsd_string(sK1)
| ~ cCar(sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_88]) ).
tcf(c_130,plain,
( cAutomobile(sK2)
| xsd_string(sK1)
| ~ cAutomobile(sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_88]) ).
tcf(c_192,plain,
( cAutomobile(sK2)
| ~ cAutomobile(sK3)
| ~ xsd_integer(sK1) ),
inference(resolution,[status(thm)],[c_86,c_130]) ).
tcf(c_193,plain,
( cAutomobile(sK2)
| ~ cAutomobile(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_192,c_78,c_130,c_192]) ).
tcf(c_201,plain,
( cCar(sK3)
| ~ cCar(sK2)
| ~ xsd_integer(sK1) ),
inference(resolution,[status(thm)],[c_86,c_129]) ).
tcf(c_202,plain,
( cCar(sK3)
| ~ cCar(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_201,c_124,c_201]) ).
tcf(c_210,plain,
( ~ cAutomobile(sK3)
| ~ cCar(sK2)
| ~ xsd_integer(sK1) ),
inference(resolution,[status(thm)],[c_86,c_128]) ).
tcf(c_211,plain,
( ~ cAutomobile(sK3)
| ~ cCar(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_210,c_123,c_210]) ).
tcf(c_219,plain,
( cAutomobile(sK2)
| cCar(sK3)
| ~ xsd_integer(sK1) ),
inference(resolution,[status(thm)],[c_86,c_127]) ).
tcf(c_220,plain,
( cAutomobile(sK2)
| cCar(sK3) ),
inference(global_subsumption_just,[status(thm)],[c_219,c_122,c_219]) ).
tcf(c_290,plain,
( cAutomobile(sK3)
| ~ cCar(sK3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_291,plain,
( cCar(sK2)
| ~ cAutomobile(sK2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_292,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_291,c_290,c_220,c_211,c_202,c_193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS165+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n007.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Sep 23 19:31:38 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 0.49/1.29 % SZS status Started for theBenchmark.p
% 0.49/1.29 % SZS status Theorem for theBenchmark.p
% 0.49/1.29
% 0.49/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.49/1.29
% 0.49/1.29 % ------ iProver source info
% 0.49/1.29
% 0.49/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.49/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.49/1.29 % git: non_committed_changes: false
% 0.49/1.29
% 0.49/1.29 % ------ Parsing...
% 0.49/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.49/1.29 %
% 0.49/1.29
% 0.49/1.29 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.49/1.29
% 0.49/1.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.49/1.29 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.29 % ------ Proving...
% 0.49/1.29 % ------ Problem Properties
% 0.49/1.29
% 0.49/1.29 %
% 0.49/1.29 % clauses 6
% 0.49/1.29 % conjectures 0
% 0.49/1.29 % EPR 6
% 0.49/1.29 % Horn 5
% 0.49/1.29 % unary 0
% 0.49/1.29 % binary 6
% 0.49/1.29 % lits 12
% 0.49/1.29 % lits eq 0
% 0.49/1.29 % fd_pure 0
% 0.49/1.29 % fd_pseudo 0
% 0.49/1.29 % fd_cond 0
% 0.49/1.29 % fd_pseudo_cond 0
% 0.49/1.29 % AC symbols 0
% 0.49/1.29
% 0.49/1.29 % ------ Schedule EPR non Horn non eq is on
% 0.49/1.29
% 0.49/1.29 % ------ no conjectures: strip conj schedule
% 0.49/1.29
% 0.49/1.29 % ------ no equalities: superposition off
% 0.49/1.29
% 0.49/1.29 % ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 0.49/1.29
% 0.49/1.29
% 0.49/1.29 % ------
% 0.49/1.29 % Current options:
% 0.49/1.29 % ------
% 0.49/1.29
% 0.49/1.29
% 0.49/1.29 %
% 0.49/1.29
% 0.49/1.29 % ------ Proving...
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% 0.49/1.29
% 0.49/1.29 % SZS status Theorem for theBenchmark.p
% 0.49/1.29
% 0.49/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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