TSTP Solution File: KRS169+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 0.37s 1.06s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 17 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 199 ( 86 ~; 83 |; 21 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 39 ( 2 sgn 21 !; 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(f3,axiom,
cowlThing(iX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cowlThing(iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,conjecture,
( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f8,negated_conjecture,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f9,plain,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f11,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f12]) ).
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(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ( ( 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,[],[f13]) ).
fof(f21,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
cowlThing(iX),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f26,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| 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,
cowlThing(iX),
inference(cnf_transformation,[],[f22]) ).
cnf(c_54,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f23]) ).
cnf(c_55,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f24]) ).
cnf(c_56,plain,
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_57,negated_conjecture,
( ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ cowlThing(sK1)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_58,negated_conjecture,
( ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_63,negated_conjecture,
( ~ rhasHead(iX,iY)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_55,c_53,c_58]) ).
cnf(c_65,negated_conjecture,
( ~ rhasHead(iX,iY)
| ~ cowlThing(sK1)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_55,c_53,c_57]) ).
cnf(c_67,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_68,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_67]) ).
cnf(c_69,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_70,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_69]) ).
cnf(c_71,plain,
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
cnf(c_97,plain,
( ~ rhasHead(iX,iY)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| xsd_integer(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_50]) ).
cnf(c_98,plain,
( ~ rhasHead(iX,iY)
| ~ xsd_integer(sK0)
| cowlNothing(sK1)
| xsd_string(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_50]) ).
cnf(c_101,plain,
( ~ rhasHead(iX,iY)
| ~ xsd_integer(sK0)
| xsd_string(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_49]) ).
cnf(c_102,plain,
( ~ rhasHead(iX,iY)
| ~ xsd_string(sK0)
| xsd_integer(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_97,c_49]) ).
cnf(c_108,plain,
( ~ rhasHead(iX,iY)
| xsd_integer(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_102,c_70]) ).
cnf(c_110,plain,
( ~ rhasHead(iX,iY)
| xsd_string(sK0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_101,c_70]) ).
cnf(c_127,plain,
rhasHead(iX,iY),
inference(resolution,[status(thm)],[c_54,c_71]) ).
cnf(c_132,plain,
xsd_string(sK0),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_127]) ).
cnf(c_135,plain,
~ xsd_integer(sK0),
inference(resolution,[status(thm)],[c_68,c_132]) ).
cnf(c_136,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_135,c_127,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 22:37:05 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.42 Running first-order theorem proving
% 0.18/0.42 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
% 0.37/1.06 % SZS status Started for theBenchmark.p
% 0.37/1.06 % SZS status Theorem for theBenchmark.p
% 0.37/1.06
% 0.37/1.06 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.37/1.06
% 0.37/1.06 ------ iProver source info
% 0.37/1.06
% 0.37/1.06 git: date: 2024-05-02 19:28:25 +0000
% 0.37/1.06 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.37/1.06 git: non_committed_changes: false
% 0.37/1.06
% 0.37/1.06 ------ Parsing...
% 0.37/1.06 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 0.37/1.06
% 0.37/1.06
% 0.37/1.06 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s
% 0.37/1.06
% 0.37/1.06 % SZS status Theorem for theBenchmark.p
% 0.37/1.06
% 0.37/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.37/1.06
% 0.37/1.06
%------------------------------------------------------------------------------