TSTP Solution File: KRS157+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS157+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:33:48 EDT 2024
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% 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 : 371 ( 153 ~; 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/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(f122,axiom,
! [X0] :
( cC216(X0)
<=> ( cC214xcomp(X0)
& cC64(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).
fof(f133,axiom,
! [X0] :
( cC30(X0)
<=> ( cC14(X0)
& cC28(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
fof(f149,axiom,
! [X0] :
( cC46(X0)
<=> ( cC44(X0)
& cC30(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).
fof(f202,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC46(X0)
& cC216(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_201) ).
fof(f203,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_202) ).
fof(f218,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_217) ).
fof(f220,conjecture,
( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f221,negated_conjecture,
~ ( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f220]) ).
fof(f323,plain,
~ ( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f221]) ).
fof(f324,plain,
! [X0] :
( cTEST(X0)
=> ( cC46(X0)
& cC216(X0) ) ),
inference(unused_predicate_definition_removal,[],[f202]) ).
fof(f380,plain,
! [X0] :
( ( cC46(X0)
& cC216(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f324]) ).
fof(f386,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f323]) ).
fof(f387,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f798,plain,
! [X0] :
( ( cC216(X0)
| ~ cC214xcomp(X0)
| ~ cC64(X0) )
& ( ( cC214xcomp(X0)
& cC64(X0) )
| ~ cC216(X0) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f799,plain,
! [X0] :
( ( cC216(X0)
| ~ cC214xcomp(X0)
| ~ cC64(X0) )
& ( ( cC214xcomp(X0)
& cC64(X0) )
| ~ cC216(X0) ) ),
inference(flattening,[],[f798]) ).
fof(f834,plain,
! [X0] :
( ( cC30(X0)
| ~ cC14(X0)
| ~ cC28(X0) )
& ( ( cC14(X0)
& cC28(X0) )
| ~ cC30(X0) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f835,plain,
! [X0] :
( ( cC30(X0)
| ~ cC14(X0)
| ~ cC28(X0) )
& ( ( cC14(X0)
& cC28(X0) )
| ~ cC30(X0) ) ),
inference(flattening,[],[f834]) ).
fof(f886,plain,
! [X0] :
( ( cC46(X0)
| ~ cC44(X0)
| ~ cC30(X0) )
& ( ( cC44(X0)
& cC30(X0) )
| ~ cC46(X0) ) ),
inference(nnf_transformation,[],[f149]) ).
fof(f887,plain,
! [X0] :
( ( cC46(X0)
| ~ cC44(X0)
| ~ cC30(X0) )
& ( ( cC44(X0)
& cC30(X0) )
| ~ cC46(X0) ) ),
inference(flattening,[],[f886]) ).
fof(f1068,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f386]) ).
fof(f1069,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK146)
| ~ xsd_string(sK146) )
& ( ~ xsd_integer(sK146)
| xsd_string(sK146) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1070,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK147)
| ~ cowlThing(sK147) ) ),
introduced(choice_axiom,[]) ).
fof(f1071,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ( ( xsd_integer(sK146)
| ~ xsd_string(sK146) )
& ( ~ xsd_integer(sK146)
| xsd_string(sK146) ) )
| cowlNothing(sK147)
| ~ cowlThing(sK147) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK146,sK147])],[f1068,f1070,f1069]) ).
fof(f1072,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1073,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1074,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f387]) ).
fof(f1075,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f387]) ).
fof(f1375,plain,
! [X0] :
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[],[f799]) ).
fof(f1401,plain,
! [X0] :
( cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f835]) ).
fof(f1402,plain,
! [X0] :
( cC14(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[],[f835]) ).
fof(f1440,plain,
! [X0] :
( cC30(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f887]) ).
fof(f1441,plain,
! [X0] :
( cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[],[f887]) ).
fof(f1574,plain,
! [X0] :
( cC216(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1575,plain,
! [X0] :
( cC46(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1576,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f203]) ).
fof(f1591,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f218]) ).
fof(f1593,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer(sK146)
| xsd_string(sK146)
| cowlNothing(sK147)
| ~ cowlThing(sK147) ),
inference(cnf_transformation,[],[f1071]) ).
fof(f1594,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| xsd_integer(sK146)
| ~ xsd_string(sK146)
| cowlNothing(sK147)
| ~ cowlThing(sK147) ),
inference(cnf_transformation,[],[f1071]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f1073]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f1072]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f1075]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f1074]) ).
cnf(c_354,plain,
( ~ cC216(X0)
| cC64(X0) ),
inference(cnf_transformation,[],[f1375]) ).
cnf(c_379,plain,
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f1402]) ).
cnf(c_380,plain,
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[],[f1401]) ).
cnf(c_418,plain,
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f1441]) ).
cnf(c_419,plain,
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[],[f1440]) ).
cnf(c_551,plain,
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[],[f1575]) ).
cnf(c_552,plain,
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[],[f1574]) ).
cnf(c_553,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f1576]) ).
cnf(c_568,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f1591]) ).
cnf(c_570,negated_conjecture,
( ~ cowlThing(iV3102)
| ~ cowlThing(sK147)
| ~ xsd_string(sK146)
| ~ cC14(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC46(iV3102)
| cowlNothing(sK147)
| xsd_integer(sK146) ),
inference(cnf_transformation,[],[f1594]) ).
cnf(c_571,negated_conjecture,
( ~ cowlThing(iV3102)
| ~ cowlThing(sK147)
| ~ xsd_integer(sK146)
| ~ cC14(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC46(iV3102)
| cowlNothing(sK147)
| xsd_string(sK146) ),
inference(cnf_transformation,[],[f1593]) ).
cnf(c_574,plain,
( ~ cTEST(iV3102)
| cC216(iV3102) ),
inference(instantiation,[status(thm)],[c_552]) ).
cnf(c_575,plain,
( ~ cTEST(iV3102)
| cC46(iV3102) ),
inference(instantiation,[status(thm)],[c_551]) ).
cnf(c_596,plain,
( ~ cC46(iV3102)
| cC30(iV3102) ),
inference(instantiation,[status(thm)],[c_419]) ).
cnf(c_597,plain,
( ~ cC46(iV3102)
| cC44(iV3102) ),
inference(instantiation,[status(thm)],[c_418]) ).
cnf(c_601,plain,
( ~ cC30(iV3102)
| cC28(iV3102) ),
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_602,plain,
( ~ cC30(iV3102)
| cC14(iV3102) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_604,plain,
( ~ cC216(iV3102)
| cC64(iV3102) ),
inference(instantiation,[status(thm)],[c_354]) ).
cnf(c_1047,plain,
( ~ xsd_integer(sK146)
| ~ cowlThing(sK147)
| cowlNothing(sK147)
| xsd_string(sK146) ),
inference(global_subsumption_just,[status(thm)],[c_571,c_568,c_553,c_574,c_575,c_596,c_597,c_601,c_602,c_604,c_571]) ).
cnf(c_1048,negated_conjecture,
( ~ cowlThing(sK147)
| ~ xsd_integer(sK146)
| cowlNothing(sK147)
| xsd_string(sK146) ),
inference(renaming,[status(thm)],[c_1047]) ).
cnf(c_1049,plain,
( ~ xsd_string(sK146)
| ~ cowlThing(sK147)
| cowlNothing(sK147)
| xsd_integer(sK146) ),
inference(global_subsumption_just,[status(thm)],[c_570,c_568,c_553,c_574,c_575,c_596,c_597,c_601,c_602,c_604,c_570]) ).
cnf(c_1050,negated_conjecture,
( ~ cowlThing(sK147)
| ~ xsd_string(sK146)
| cowlNothing(sK147)
| xsd_integer(sK146) ),
inference(renaming,[status(thm)],[c_1049]) ).
cnf(c_1051,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_1052,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_1051]) ).
cnf(c_1053,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_1054,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_1053]) ).
cnf(c_3284,plain,
( ~ xsd_string(sK146)
| cowlNothing(sK147)
| xsd_integer(sK146) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1050,c_50]) ).
cnf(c_3285,plain,
( ~ xsd_integer(sK146)
| cowlNothing(sK147)
| xsd_string(sK146) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1048,c_50]) ).
cnf(c_3310,plain,
( ~ xsd_integer(sK146)
| xsd_string(sK146) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3285,c_49]) ).
cnf(c_3311,plain,
( ~ xsd_string(sK146)
| xsd_integer(sK146) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3284,c_49]) ).
cnf(c_3315,plain,
xsd_integer(sK146),
inference(backward_subsumption_resolution,[status(thm)],[c_3311,c_1054]) ).
cnf(c_3317,plain,
xsd_string(sK146),
inference(backward_subsumption_resolution,[status(thm)],[c_3310,c_1054]) ).
cnf(c_5612,plain,
~ xsd_integer(sK146),
inference(resolution,[status(thm)],[c_1052,c_3317]) ).
cnf(c_5613,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5612,c_3315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS157+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:59:12 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------