TSTP Solution File: KRS149+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 02:33:47 EDT 2024
% Result : Theorem 0.49s 1.17s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 14 unt; 0 def)
% Number of atoms : 296 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 372 ( 154 ~; 152 |; 54 &)
% ( 8 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 53 ( 2 sgn 32 !; 6 ?)
% 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(f66,axiom,
! [X0] :
( cC216(X0)
<=> ( cC64(X0)
& ~ cC214(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f71,axiom,
! [X0] :
( cC30(X0)
<=> ( cC28(X0)
& cC14(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f79,axiom,
! [X0] :
( cC46(X0)
<=> ( cC44(X0)
& cC30(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(f108,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC46(X0)
& cC216(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
fof(f109,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
fof(f110,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
fof(f126,conjecture,
( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f127,negated_conjecture,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f126]) ).
fof(f128,plain,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0] :
( cTEST(X0)
=> ( cC46(X0)
& cC216(X0) ) ),
inference(unused_predicate_definition_removal,[],[f108]) ).
fof(f130,plain,
! [X0] :
( ( cC46(X0)
& cC216(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f136,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f137,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f330,plain,
! [X0] :
( ( cC216(X0)
| ~ cC64(X0)
| cC214(X0) )
& ( ( cC64(X0)
& ~ cC214(X0) )
| ~ cC216(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f331,plain,
! [X0] :
( ( cC216(X0)
| ~ cC64(X0)
| cC214(X0) )
& ( ( cC64(X0)
& ~ cC214(X0) )
| ~ cC216(X0) ) ),
inference(flattening,[],[f330]) ).
fof(f344,plain,
! [X0] :
( ( cC30(X0)
| ~ cC28(X0)
| ~ cC14(X0) )
& ( ( cC28(X0)
& cC14(X0) )
| ~ cC30(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f345,plain,
! [X0] :
( ( cC30(X0)
| ~ cC28(X0)
| ~ cC14(X0) )
& ( ( cC28(X0)
& cC14(X0) )
| ~ cC30(X0) ) ),
inference(flattening,[],[f344]) ).
fof(f368,plain,
! [X0] :
( ( cC46(X0)
| ~ cC44(X0)
| ~ cC30(X0) )
& ( ( cC44(X0)
& cC30(X0) )
| ~ cC46(X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f369,plain,
! [X0] :
( ( cC46(X0)
| ~ cC44(X0)
| ~ cC30(X0) )
& ( ( cC44(X0)
& cC30(X0) )
| ~ cC46(X0) ) ),
inference(flattening,[],[f368]) ).
fof(f456,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f457,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK54)
| ~ xsd_string(sK54) )
& ( ~ xsd_integer(sK54)
| xsd_string(sK54) ) ) ),
introduced(choice_axiom,[]) ).
fof(f458,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK55)
| ~ cowlThing(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f459,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ( ( xsd_integer(sK54)
| ~ xsd_string(sK54) )
& ( ~ xsd_integer(sK54)
| xsd_string(sK54) ) )
| cowlNothing(sK55)
| ~ cowlThing(sK55) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55])],[f456,f458,f457]) ).
fof(f460,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f461,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f462,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f463,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f654,plain,
! [X0] :
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f668,plain,
! [X0] :
( cC14(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f669,plain,
! [X0] :
( cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f692,plain,
! [X0] :
( cC30(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f693,plain,
! [X0] :
( cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f779,plain,
! [X0] :
( cC216(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f780,plain,
! [X0] :
( cC46(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f781,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f109]) ).
fof(f782,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f110]) ).
fof(f798,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_integer(sK54)
| xsd_string(sK54)
| cowlNothing(sK55)
| ~ cowlThing(sK55) ),
inference(cnf_transformation,[],[f459]) ).
fof(f799,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| xsd_integer(sK54)
| ~ xsd_string(sK54)
| cowlNothing(sK55)
| ~ cowlThing(sK55) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f461]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f460]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f463]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_243,plain,
( ~ cC216(X0)
| cC64(X0) ),
inference(cnf_transformation,[],[f654]) ).
cnf(c_258,plain,
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[],[f669]) ).
cnf(c_259,plain,
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f668]) ).
cnf(c_282,plain,
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f693]) ).
cnf(c_283,plain,
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[],[f692]) ).
cnf(c_368,plain,
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[],[f780]) ).
cnf(c_369,plain,
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[],[f779]) ).
cnf(c_370,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f781]) ).
cnf(c_371,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f782]) ).
cnf(c_387,negated_conjecture,
( ~ cowlThing(iV3102)
| ~ cowlThing(sK55)
| ~ xsd_string(sK54)
| ~ cC14(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC46(iV3102)
| cowlNothing(sK55)
| xsd_integer(sK54) ),
inference(cnf_transformation,[],[f799]) ).
cnf(c_388,negated_conjecture,
( ~ cowlThing(iV3102)
| ~ cowlThing(sK55)
| ~ xsd_integer(sK54)
| ~ cC14(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC46(iV3102)
| cowlNothing(sK55)
| xsd_string(sK54) ),
inference(cnf_transformation,[],[f798]) ).
cnf(c_391,plain,
( ~ cTEST(iV3102)
| cC216(iV3102) ),
inference(instantiation,[status(thm)],[c_369]) ).
cnf(c_392,plain,
( ~ cTEST(iV3102)
| cC46(iV3102) ),
inference(instantiation,[status(thm)],[c_368]) ).
cnf(c_405,plain,
( ~ cC46(iV3102)
| cC30(iV3102) ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_406,plain,
( ~ cC46(iV3102)
| cC44(iV3102) ),
inference(instantiation,[status(thm)],[c_282]) ).
cnf(c_409,plain,
( ~ cC30(iV3102)
| cC14(iV3102) ),
inference(instantiation,[status(thm)],[c_259]) ).
cnf(c_410,plain,
( ~ cC30(iV3102)
| cC28(iV3102) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_411,plain,
( ~ cC216(iV3102)
| cC64(iV3102) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_655,plain,
( ~ xsd_integer(sK54)
| ~ cowlThing(sK55)
| cowlNothing(sK55)
| xsd_string(sK54) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_371,c_370,c_391,c_392,c_405,c_406,c_409,c_410,c_411,c_388]) ).
cnf(c_656,negated_conjecture,
( ~ cowlThing(sK55)
| ~ xsd_integer(sK54)
| cowlNothing(sK55)
| xsd_string(sK54) ),
inference(renaming,[status(thm)],[c_655]) ).
cnf(c_657,plain,
( ~ xsd_string(sK54)
| ~ cowlThing(sK55)
| cowlNothing(sK55)
| xsd_integer(sK54) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_371,c_370,c_391,c_392,c_405,c_406,c_409,c_410,c_411,c_387]) ).
cnf(c_658,negated_conjecture,
( ~ cowlThing(sK55)
| ~ xsd_string(sK54)
| cowlNothing(sK55)
| xsd_integer(sK54) ),
inference(renaming,[status(thm)],[c_657]) ).
cnf(c_659,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_660,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_659]) ).
cnf(c_661,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_662,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_661]) ).
cnf(c_1928,plain,
( ~ xsd_string(sK54)
| cowlNothing(sK55)
| xsd_integer(sK54) ),
inference(backward_subsumption_resolution,[status(thm)],[c_658,c_50]) ).
cnf(c_1929,plain,
( ~ xsd_integer(sK54)
| cowlNothing(sK55)
| xsd_string(sK54) ),
inference(backward_subsumption_resolution,[status(thm)],[c_656,c_50]) ).
cnf(c_1936,plain,
( ~ xsd_integer(sK54)
| xsd_string(sK54) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1929,c_49]) ).
cnf(c_1937,plain,
( ~ xsd_string(sK54)
| xsd_integer(sK54) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1928,c_49]) ).
cnf(c_1959,plain,
xsd_integer(sK54),
inference(backward_subsumption_resolution,[status(thm)],[c_1937,c_662]) ).
cnf(c_1961,plain,
xsd_string(sK54),
inference(backward_subsumption_resolution,[status(thm)],[c_1936,c_662]) ).
cnf(c_3479,plain,
~ xsd_integer(sK54),
inference(resolution,[status(thm)],[c_660,c_1961]) ).
cnf(c_3480,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3479,c_1959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:32:34 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.17 % SZS status Started for theBenchmark.p
% 0.49/1.17 % SZS status Theorem for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17
% 0.49/1.17 ------ iProver source info
% 0.49/1.17
% 0.49/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17 git: non_committed_changes: false
% 0.49/1.17
% 0.49/1.17 ------ Parsing...
% 0.49/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s
% 0.49/1.17
% 0.49/1.17 % SZS status Theorem for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17
% 0.49/1.17
%------------------------------------------------------------------------------