TSTP Solution File: KRS179+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:33:52 EDT 2024
% Result : Theorem 0.50s 1.18s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 37 ~; 28 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 39 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f14,conjecture,
! [X0,X1,X10] :
( ( isa(X1,X10)
& isa(X0,X1) )
=> isa(X0,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_transitive) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X10] :
( ( isa(X1,X10)
& isa(X0,X1) )
=> isa(X0,X10) ),
inference(negated_conjecture,[],[f14]) ).
fof(f24,plain,
~ ! [X0,X1,X2] :
( ( isa(X1,X2)
& isa(X0,X1) )
=> isa(X0,X2) ),
inference(rectify,[],[f15]) ).
fof(f25,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
<=> isa(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ isa(X0,X2)
& isa(X1,X2)
& isa(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f28,plain,
? [X0,X1,X2] :
( ~ isa(X0,X2)
& isa(X1,X2)
& isa(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| ~ isa(X0,X1) )
& ( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f30,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| ~ isa(X0,X1) )
& ( isa(X0,X1)
| ? [X4,X5] :
( ~ status(X4,X5,X1)
& status(X4,X5,X0) ) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X4,X5] :
( ~ status(X4,X5,X1)
& status(X4,X5,X0) )
=> ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
& status(sK0(X0,X1),sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| ~ isa(X0,X1) )
& ( isa(X0,X1)
| ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
& status(sK0(X0,X1),sK1(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f31]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ isa(X0,X2)
& isa(X1,X2)
& isa(X0,X1) )
=> ( ~ isa(sK20,sK22)
& isa(sK21,sK22)
& isa(sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ~ isa(sK20,sK22)
& isa(sK21,sK22)
& isa(sK20,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f28,f55]) ).
fof(f57,plain,
! [X0,X1] :
( isa(X0,X1)
| status(sK0(X0,X1),sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
! [X0,X1] :
( isa(X0,X1)
| ~ status(sK0(X0,X1),sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f79,plain,
isa(sK20,sK21),
inference(cnf_transformation,[],[f56]) ).
fof(f80,plain,
isa(sK21,sK22),
inference(cnf_transformation,[],[f56]) ).
fof(f81,plain,
~ isa(sK20,sK22),
inference(cnf_transformation,[],[f56]) ).
cnf(c_49,plain,
( ~ status(X0,X1,X2)
| ~ isa(X2,X3)
| status(X0,X1,X3) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_50,plain,
( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_51,plain,
( status(sK0(X0,X1),sK1(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_71,negated_conjecture,
~ isa(sK20,sK22),
inference(cnf_transformation,[],[f81]) ).
cnf(c_72,negated_conjecture,
isa(sK21,sK22),
inference(cnf_transformation,[],[f80]) ).
cnf(c_73,negated_conjecture,
isa(sK20,sK21),
inference(cnf_transformation,[],[f79]) ).
cnf(c_85,plain,
( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
| isa(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
cnf(c_95,plain,
( status(sK0(X0,X1),sK1(X0,X1),X0)
| isa(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_231,plain,
status(sK0(sK20,sK22),sK1(sK20,sK22),sK20),
inference(resolution,[status(thm)],[c_95,c_71]) ).
cnf(c_235,plain,
~ status(sK0(sK20,sK22),sK1(sK20,sK22),sK22),
inference(resolution,[status(thm)],[c_85,c_71]) ).
cnf(c_434,plain,
( ~ status(sK0(sK20,sK22),sK1(sK20,sK22),sK20)
| ~ isa(sK20,X0)
| status(sK0(sK20,sK22),sK1(sK20,sK22),X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_460,plain,
( ~ status(sK0(sK20,sK22),sK1(sK20,sK22),sK20)
| ~ isa(sK20,sK21)
| status(sK0(sK20,sK22),sK1(sK20,sK22),sK21) ),
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_488,plain,
( ~ status(sK0(sK20,sK22),sK1(sK20,sK22),sK21)
| ~ isa(sK21,X0)
| status(sK0(sK20,sK22),sK1(sK20,sK22),X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_522,plain,
( ~ status(sK0(sK20,sK22),sK1(sK20,sK22),sK21)
| ~ isa(sK21,sK22)
| status(sK0(sK20,sK22),sK1(sK20,sK22),sK22) ),
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_523,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_522,c_460,c_235,c_231,c_72,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.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 22:56:37 EDT 2024
% 0.13/0.34 % 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
% 0.50/1.18 % SZS status Started for theBenchmark.p
% 0.50/1.18 % SZS status Theorem for theBenchmark.p
% 0.50/1.18
% 0.50/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.50/1.18
% 0.50/1.18 ------ iProver source info
% 0.50/1.18
% 0.50/1.18 git: date: 2024-05-02 19:28:25 +0000
% 0.50/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.50/1.18 git: non_committed_changes: false
% 0.50/1.18
% 0.50/1.18 ------ Parsing...
% 0.50/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.50/1.18
% 0.50/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.50/1.18
% 0.50/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.50/1.18 ------ Proving...
% 0.50/1.18 ------ Problem Properties
% 0.50/1.18
% 0.50/1.18
% 0.50/1.18 clauses 23
% 0.50/1.18 conjectures 3
% 0.50/1.18 EPR 19
% 0.50/1.18 Horn 21
% 0.50/1.18 unary 16
% 0.50/1.18 binary 6
% 0.50/1.18 lits 31
% 0.50/1.18 lits eq 0
% 0.50/1.18 fd_pure 0
% 0.50/1.18 fd_pseudo 0
% 0.50/1.18 fd_cond 0
% 0.50/1.18 fd_pseudo_cond 0
% 0.50/1.18 AC symbols 0
% 0.50/1.18
% 0.50/1.18 ------ Schedule dynamic 5 is on
% 0.50/1.18
% 0.50/1.18 ------ no equalities: superposition off
% 0.50/1.18
% 0.50/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.50/1.18
% 0.50/1.18
% 0.50/1.18 ------
% 0.50/1.18 Current options:
% 0.50/1.18 ------
% 0.50/1.18
% 0.50/1.18
% 0.50/1.18
% 0.50/1.18
% 0.50/1.18 ------ Proving...
% 0.50/1.18
% 0.50/1.18
% 0.50/1.18 % SZS status Theorem for theBenchmark.p
% 0.50/1.18
% 0.50/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/1.18
% 0.50/1.18
%------------------------------------------------------------------------------