TSTP Solution File: KRS164+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS164+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 0.69s 1.10s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 20 unt; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 240 ( 104 ~; 103 |; 25 &)
% ( 5 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 : 35 ( 2 sgn 17 !; 6 ?)
% 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] :
( cCar(X0)
<=> cAutomobile(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cowlThing(iauto),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
cCar(icar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
cowlThing(icar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,conjecture,
( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f9,negated_conjecture,
~ ( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f10,plain,
~ ( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f9]) ).
fof(f11,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0] :
( ( cCar(X0)
| ~ cAutomobile(X0) )
& ( cAutomobile(X0)
| ~ cCar(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f14,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f15,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f16,f15]) ).
fof(f18,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
cowlThing(iauto),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
cCar(icar),
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f18]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f20]) ).
cnf(c_53,plain,
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_54,plain,
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_55,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f24]) ).
cnf(c_56,plain,
cowlThing(iauto),
inference(cnf_transformation,[],[f25]) ).
cnf(c_57,plain,
cCar(icar),
inference(cnf_transformation,[],[f26]) ).
cnf(c_58,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f27]) ).
cnf(c_59,negated_conjecture,
( ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cowlThing(sK1)
| ~ xsd_string(sK0)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_60,negated_conjecture,
( ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_63,plain,
( ~ cAutomobile(iauto)
| cCar(iauto) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_65,plain,
( ~ xsd_integer(sK0)
| ~ cowlThing(sK1)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_58,c_56,c_55,c_63,c_60]) ).
cnf(c_66,negated_conjecture,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(renaming,[status(thm)],[c_65]) ).
cnf(c_67,plain,
( ~ xsd_string(sK0)
| ~ cowlThing(sK1)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_58,c_56,c_55,c_63,c_59]) ).
cnf(c_68,negated_conjecture,
( ~ cowlThing(sK1)
| ~ xsd_string(sK0)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(renaming,[status(thm)],[c_67]) ).
cnf(c_69,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_70,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_69]) ).
cnf(c_71,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_72,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_71]) ).
cnf(c_73,plain,
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_74,plain,
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(renaming,[status(thm)],[c_73]) ).
cnf(c_104,plain,
( ~ xsd_string(sK0)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_50]) ).
cnf(c_105,plain,
( ~ xsd_integer(sK0)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_50]) ).
cnf(c_112,plain,
( ~ xsd_integer(sK0)
| ~ cAutomobile(icar)
| xsd_string(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_105,c_49]) ).
cnf(c_113,plain,
( ~ xsd_string(sK0)
| ~ cAutomobile(icar)
| xsd_integer(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_104,c_49]) ).
cnf(c_117,plain,
( ~ cAutomobile(icar)
| xsd_integer(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_113,c_72]) ).
cnf(c_119,plain,
( ~ cAutomobile(icar)
| xsd_string(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_72]) ).
cnf(c_141,plain,
cAutomobile(icar),
inference(resolution,[status(thm)],[c_74,c_57]) ).
cnf(c_147,plain,
xsd_string(sK0),
inference(backward_subsumption_resolution,[status(thm)],[c_119,c_141]) ).
cnf(c_149,plain,
~ xsd_integer(sK0),
inference(resolution,[status(thm)],[c_70,c_147]) ).
cnf(c_150,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_149,c_141,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : KRS164+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:00:03 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 0.69/1.10 % SZS status Started for theBenchmark.p
% 0.69/1.10 % SZS status Theorem for theBenchmark.p
% 0.69/1.10
% 0.69/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.69/1.10
% 0.69/1.10 ------ iProver source info
% 0.69/1.10
% 0.69/1.10 git: date: 2024-05-02 19:28:25 +0000
% 0.69/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.69/1.10 git: non_committed_changes: false
% 0.69/1.10
% 0.69/1.10 ------ Parsing...
% 0.69/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s
% 0.69/1.10
% 0.69/1.10 % SZS status Theorem for theBenchmark.p
% 0.69/1.10
% 0.69/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.10
% 0.69/1.10
%------------------------------------------------------------------------------