TSTP Solution File: KRS166+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS166+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:33:50 EDT 2024
% Result : Theorem 0.82s 1.20s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 8 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 259 ( 101 ~; 125 |; 19 &)
% ( 7 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 ( 2 sgn 22 !; 9 ?)
% 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] :
( cAutomobile(X0)
=> cCar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cCar(X0)
=> cAutomobile(X0) ),
file('/export/starexec/sandbox/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/sandbox/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,[],[f5]) ).
fof(f7,plain,
~ ( ! [X0] :
( cCar(X0)
<=> cAutomobile(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ~ cowlNothing(X2)
& cowlThing(X2) ) ),
inference(rectify,[],[f6]) ).
fof(f8,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
( ? [X0] :
( cCar(X0)
<~> cAutomobile(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
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] :
( ( ~ cAutomobile(X0)
| ~ cCar(X0) )
& ( cAutomobile(X0)
| cCar(X0) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
( ? [X0] :
( ( ~ cAutomobile(X0)
| ~ cCar(X0) )
& ( cAutomobile(X0)
| cCar(X0) ) )
=> ( ( ~ cAutomobile(sK0)
| ~ cCar(sK0) )
& ( cAutomobile(sK0)
| cCar(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK2)
| ~ cowlThing(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ( ( ~ cAutomobile(sK0)
| ~ cCar(sK0) )
& ( cAutomobile(sK0)
| cCar(sK0) ) )
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f15,f14,f13]) ).
fof(f17,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
( cAutomobile(sK0)
| cCar(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
( cAutomobile(sK0)
| cCar(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
( ~ cAutomobile(sK0)
| ~ cCar(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
( ~ cAutomobile(sK0)
| ~ cCar(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f18]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f17]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f20]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f19]) ).
cnf(c_53,plain,
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_54,plain,
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_55,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_string(sK1)
| ~ cCar(sK0)
| ~ cAutomobile(sK0)
| cowlNothing(sK2)
| xsd_integer(sK1) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK1)
| ~ cCar(sK0)
| ~ cAutomobile(sK0)
| cowlNothing(sK2)
| xsd_string(sK1) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_57,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| xsd_integer(sK1)
| cCar(sK0)
| cAutomobile(sK0) ),
inference(cnf_transformation,[],[f24]) ).
cnf(c_58,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK1)
| cowlNothing(sK2)
| xsd_string(sK1)
| cCar(sK0)
| cAutomobile(sK0) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_62,plain,
( ~ cCar(sK0)
| cAutomobile(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_63,plain,
( ~ cAutomobile(sK0)
| cCar(sK0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_65,plain,
( xsd_string(sK1)
| cowlNothing(sK2)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK2)
| cAutomobile(sK0) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_62,c_63,c_58,c_56]) ).
cnf(c_66,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK1)
| cowlNothing(sK2)
| xsd_string(sK1)
| cAutomobile(sK0) ),
inference(renaming,[status(thm)],[c_65]) ).
cnf(c_67,plain,
( xsd_string(sK1)
| cowlNothing(sK2)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_63,c_56,c_66]) ).
cnf(c_68,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK1)
| cowlNothing(sK2)
| xsd_string(sK1) ),
inference(renaming,[status(thm)],[c_67]) ).
cnf(c_69,plain,
( xsd_integer(sK1)
| cowlNothing(sK2)
| ~ xsd_string(sK1)
| ~ cowlThing(sK2)
| cAutomobile(sK0) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_62,c_63,c_57,c_55]) ).
cnf(c_70,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| xsd_integer(sK1)
| cAutomobile(sK0) ),
inference(renaming,[status(thm)],[c_69]) ).
cnf(c_71,plain,
( xsd_integer(sK1)
| cowlNothing(sK2)
| ~ xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_63,c_55,c_70]) ).
cnf(c_72,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| xsd_integer(sK1) ),
inference(renaming,[status(thm)],[c_71]) ).
cnf(c_73,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK1)
| cowlNothing(sK2)
| xsd_string(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_68]) ).
cnf(c_75,negated_conjecture,
( ~ cowlThing(sK2)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| xsd_integer(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_72]) ).
cnf(c_77,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_78,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_77]) ).
cnf(c_79,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_80,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_79]) ).
cnf(c_107,plain,
( ~ xsd_string(sK1)
| cowlNothing(sK2)
| xsd_integer(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_50]) ).
cnf(c_108,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK2)
| xsd_string(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_50]) ).
cnf(c_111,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_108,c_49]) ).
cnf(c_112,plain,
( ~ xsd_string(sK1)
| xsd_integer(sK1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_107,c_49]) ).
cnf(c_116,plain,
xsd_integer(sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_80]) ).
cnf(c_118,plain,
xsd_string(sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_111,c_80]) ).
cnf(c_136,plain,
~ xsd_integer(sK1),
inference(resolution,[status(thm)],[c_78,c_118]) ).
cnf(c_137,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_136,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS166+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:46:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.82/1.20 % SZS status Started for theBenchmark.p
% 0.82/1.20 % SZS status Theorem for theBenchmark.p
% 0.82/1.20
% 0.82/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.82/1.20
% 0.82/1.20 ------ iProver source info
% 0.82/1.20
% 0.82/1.20 git: date: 2024-05-02 19:28:25 +0000
% 0.82/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.82/1.20 git: non_committed_changes: false
% 0.82/1.20
% 0.82/1.20 ------ Parsing...
% 0.82/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s
% 0.82/1.20
% 0.82/1.20 % SZS status Theorem for theBenchmark.p
% 0.82/1.20
% 0.82/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.82/1.20
% 0.82/1.20
%------------------------------------------------------------------------------