TSTP Solution File: KRS150+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS150+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 0.43s 1.11s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 94 ( 29 unt; 0 def)
% Number of atoms : 346 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 439 ( 187 ~; 177 |; 62 &)
% ( 9 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 54 ( 2 sgn 34 !; 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(f4,axiom,
! [X0] :
( cC12(X0)
<=> ( ~ cC10(X0)
& ~ cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f6,axiom,
! [X0] :
( cC16(X0)
<=> ( cC8(X0)
& cC14(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC18(X0)
<=> ( cC16(X0)
& cTOP(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f9,axiom,
! [X0] :
( cC6(X0)
<=> ( ~ cC4(X0)
& ~ cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f11,axiom,
! [X0] :
( cTEST(X0)
<=> ( cTOP(X0)
& cC18(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f13,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
cowlThing(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f17,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f18,axiom,
cowlThing(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f20,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f21,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
cowlThing(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f25,conjecture,
( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f26,negated_conjecture,
~ ( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f27,plain,
~ ( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( cTEST(X0)
=> ( cTOP(X0)
& cC18(X0) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f29,plain,
! [X0] :
( ( cTOP(X0)
& cC18(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f32,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f33,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X0] :
( ( cC12(X0)
| cC10(X0)
| cC2(X0) )
& ( ( ~ cC10(X0)
& ~ cC2(X0) )
| ~ cC12(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f39,plain,
! [X0] :
( ( cC12(X0)
| cC10(X0)
| cC2(X0) )
& ( ( ~ cC10(X0)
& ~ cC2(X0) )
| ~ cC12(X0) ) ),
inference(flattening,[],[f38]) ).
fof(f44,plain,
! [X0] :
( ( cC16(X0)
| ~ cC8(X0)
| ~ cC14(X0) )
& ( ( cC8(X0)
& cC14(X0) )
| ~ cC16(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0] :
( ( cC16(X0)
| ~ cC8(X0)
| ~ cC14(X0) )
& ( ( cC8(X0)
& cC14(X0) )
| ~ cC16(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( cC18(X0)
| ~ cC16(X0)
| ~ cTOP(X0) )
& ( ( cC16(X0)
& cTOP(X0) )
| ~ cC18(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0] :
( ( cC18(X0)
| ~ cC16(X0)
| ~ cTOP(X0) )
& ( ( cC16(X0)
& cTOP(X0) )
| ~ cC18(X0) ) ),
inference(flattening,[],[f46]) ).
fof(f52,plain,
! [X0] :
( ( cC6(X0)
| cC4(X0)
| cC2(X0) )
& ( ( ~ cC4(X0)
& ~ cC2(X0) )
| ~ cC6(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f53,plain,
! [X0] :
( ( cC6(X0)
| cC4(X0)
| cC2(X0) )
& ( ( ~ cC4(X0)
& ~ cC2(X0) )
| ~ cC6(X0) ) ),
inference(flattening,[],[f52]) ).
fof(f58,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f59,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK4)
| ~ xsd_string(sK4) )
& ( ~ xsd_integer(sK4)
| xsd_string(sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK5)
| ~ cowlThing(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ( ( xsd_integer(sK4)
| ~ xsd_string(sK4) )
& ( ~ xsd_integer(sK4)
| xsd_string(sK4) ) )
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f58,f60,f59]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
! [X0] :
( cC12(X0)
| cC10(X0)
| cC2(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f75,plain,
! [X0] :
( cC14(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
! [X0] :
( cC8(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f79,plain,
! [X0] :
( cC16(X0)
| ~ cC18(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f86,plain,
! [X0] :
( cC6(X0)
| cC4(X0)
| cC2(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f90,plain,
! [X0] :
( cC18(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f93,plain,
cTEST(iV16560),
inference(cnf_transformation,[],[f13]) ).
fof(f94,plain,
cowlThing(iV16560),
inference(cnf_transformation,[],[f14]) ).
fof(f97,plain,
~ cC4(iV16561),
inference(cnf_transformation,[],[f17]) ).
fof(f98,plain,
cowlThing(iV16561),
inference(cnf_transformation,[],[f18]) ).
fof(f100,plain,
~ cC2(iV16561),
inference(cnf_transformation,[],[f20]) ).
fof(f101,plain,
~ cC10(iV16562),
inference(cnf_transformation,[],[f21]) ).
fof(f102,plain,
~ cC2(iV16562),
inference(cnf_transformation,[],[f22]) ).
fof(f103,plain,
cowlThing(iV16562),
inference(cnf_transformation,[],[f23]) ).
fof(f105,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f61]) ).
fof(f106,plain,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f63]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f62]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_56,plain,
( cC10(X0)
| cC2(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_63,plain,
( ~ cC16(X0)
| cC8(X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_64,plain,
( ~ cC16(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_66,plain,
( ~ cC18(X0)
| cC16(X0) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_71,plain,
( cC2(X0)
| cC4(X0)
| cC6(X0) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_78,plain,
( ~ cTEST(X0)
| cC18(X0) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_80,plain,
cTEST(iV16560),
inference(cnf_transformation,[],[f93]) ).
cnf(c_81,plain,
cowlThing(iV16560),
inference(cnf_transformation,[],[f94]) ).
cnf(c_84,plain,
~ cC4(iV16561),
inference(cnf_transformation,[],[f97]) ).
cnf(c_85,plain,
cowlThing(iV16561),
inference(cnf_transformation,[],[f98]) ).
cnf(c_87,plain,
~ cC2(iV16561),
inference(cnf_transformation,[],[f100]) ).
cnf(c_88,plain,
~ cC10(iV16562),
inference(cnf_transformation,[],[f101]) ).
cnf(c_89,plain,
~ cC2(iV16562),
inference(cnf_transformation,[],[f102]) ).
cnf(c_90,plain,
cowlThing(iV16562),
inference(cnf_transformation,[],[f103]) ).
cnf(c_92,negated_conjecture,
( ~ cowlThing(iV16560)
| ~ cowlThing(iV16562)
| ~ cowlThing(iV16561)
| ~ cowlThing(sK5)
| ~ xsd_string(sK4)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK5)
| xsd_integer(sK4) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_93,negated_conjecture,
( ~ cowlThing(iV16560)
| ~ cowlThing(iV16562)
| ~ cowlThing(iV16561)
| ~ cowlThing(sK5)
| ~ xsd_integer(sK4)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK5)
| xsd_string(sK4) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_96,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_97,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_98,plain,
( ~ cC16(iV16560)
| cC14(iV16560) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_99,plain,
( ~ cC16(iV16560)
| cC8(iV16560) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_123,negated_conjecture,
( ~ cowlThing(sK5)
| ~ xsd_integer(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| cowlNothing(sK5)
| xsd_string(sK4) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_90,c_85,c_81,c_80,c_96,c_97,c_98,c_99,c_93]) ).
cnf(c_125,negated_conjecture,
( ~ cowlThing(sK5)
| ~ xsd_string(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| cowlNothing(sK5)
| xsd_integer(sK4) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_90,c_85,c_81,c_80,c_96,c_97,c_98,c_99,c_92]) ).
cnf(c_127,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_128,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_129,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_130,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_129]) ).
cnf(c_275,plain,
( ~ xsd_string(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| cowlNothing(sK5)
| xsd_integer(sK4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_125,c_50]) ).
cnf(c_276,plain,
( ~ xsd_integer(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| cowlNothing(sK5)
| xsd_string(sK4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_123,c_50]) ).
cnf(c_283,plain,
( ~ xsd_integer(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| xsd_string(sK4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_276,c_49]) ).
cnf(c_284,plain,
( ~ xsd_string(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561)
| xsd_integer(sK4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_275,c_49]) ).
cnf(c_302,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| xsd_string(sK4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_283,c_130]) ).
cnf(c_454,plain,
( ~ xsd_integer(sK4)
| ~ cC12(iV16562)
| ~ cC6(iV16561) ),
inference(resolution,[status(thm)],[c_128,c_302]) ).
cnf(c_455,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_284,c_302,c_454]) ).
cnf(c_616,plain,
( cC2(iV16562)
| cC12(iV16562) ),
inference(resolution,[status(thm)],[c_56,c_88]) ).
cnf(c_754,plain,
( cC2(iV16561)
| cC6(iV16561) ),
inference(resolution,[status(thm)],[c_71,c_84]) ).
cnf(c_755,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_754,c_616,c_455,c_87,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : KRS150+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 22:35:49 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.43/1.11 % SZS status Started for theBenchmark.p
% 0.43/1.11 % SZS status Theorem for theBenchmark.p
% 0.43/1.11
% 0.43/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.11
% 0.43/1.11 ------ iProver source info
% 0.43/1.11
% 0.43/1.11 git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.11 git: non_committed_changes: false
% 0.43/1.11
% 0.43/1.11 ------ Parsing...
% 0.43/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.43/1.11
% 0.43/1.11 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s
% 0.43/1.11
% 0.43/1.11 % SZS status Theorem for theBenchmark.p
% 0.43/1.11
% 0.43/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.11
% 0.43/1.11
%------------------------------------------------------------------------------