TSTP Solution File: PUZ128+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PUZ128+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:54:55 EDT 2024
% Result : Theorem 0.48s 1.14s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 79 ( 40 unt; 0 def)
% Number of atoms : 313 ( 87 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 378 ( 144 ~; 131 |; 101 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 101 ( 0 sgn 40 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2,X3,X4] :
( ~ ? [X5] :
( 'Thersandros' = X5
& patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(f2,conjecture,
? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f3,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| ? [X4] :
( X3 = X4
& patricide(X4) )
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) )
=> ( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = sK4
& patricide(sK4)
& 'Polyneikes' = sK3
& relation(sK3,of,'Thersandros')
& parent(sK3)
& 'Oedipus' = sK2
& relation(sK2,of,'Polyneikes')
& parent(sK2)
& 'Iokaste' = sK1
& relation(sK1,of,'Polyneikes')
& parent(sK1)
& 'Iokaste' = sK0
& relation(sK0,of,'Oedipus')
& parent(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = sK4
& patricide(sK4)
& 'Polyneikes' = sK3
& relation(sK3,of,'Thersandros')
& parent(sK3)
& 'Oedipus' = sK2
& relation(sK2,of,'Polyneikes')
& parent(sK2)
& 'Iokaste' = sK1
& relation(sK1,of,'Polyneikes')
& parent(sK1)
& 'Iokaste' = sK0
& relation(sK0,of,'Oedipus')
& parent(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f5,f7]) ).
fof(f9,plain,
! [X3] :
( ? [X4] :
( X3 = X4
& patricide(X4) )
=> ( sK5(X3) = X3
& patricide(sK5(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| ( sK5(X3) = X3
& patricide(sK5(X3)) )
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f6,f9]) ).
fof(f12,plain,
relation(sK0,of,'Oedipus'),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
'Iokaste' = sK0,
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
parent(sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
relation(sK1,of,'Polyneikes'),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
'Iokaste' = sK1,
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
parent(sK2),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
relation(sK2,of,'Polyneikes'),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
'Oedipus' = sK2,
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
parent(sK3),
inference(cnf_transformation,[],[f8]) ).
fof(f21,plain,
relation(sK3,of,'Thersandros'),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
'Polyneikes' = sK3,
inference(cnf_transformation,[],[f8]) ).
fof(f23,plain,
patricide(sK4),
inference(cnf_transformation,[],[f8]) ).
fof(f24,plain,
'Oedipus' = sK4,
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
sK2 = sK4,
inference(definition_unfolding,[],[f19,f24]) ).
fof(f29,plain,
relation(sK2,of,sK3),
inference(definition_unfolding,[],[f18,f22]) ).
fof(f30,plain,
relation(sK1,of,sK3),
inference(definition_unfolding,[],[f15,f22]) ).
fof(f31,plain,
sK0 = sK1,
inference(definition_unfolding,[],[f13,f16]) ).
fof(f32,plain,
relation(sK0,of,sK4),
inference(definition_unfolding,[],[f12,f24]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( sK1 != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(definition_unfolding,[],[f27,f16]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( sK1 != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(definition_unfolding,[],[f26,f16]) ).
fof(f35,plain,
~ patricide('Thersandros'),
inference(equality_resolution,[],[f25]) ).
fof(f36,plain,
! [X2,X3,X1] :
( ~ relation(sK1,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(sK1) ),
inference(equality_resolution,[],[f33]) ).
fof(f37,plain,
! [X2,X3] :
( ~ relation(sK1,of,X2)
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(sK1) ),
inference(equality_resolution,[],[f36]) ).
fof(f38,plain,
! [X2,X3,X1] :
( ~ relation(sK1,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(sK1) ),
inference(equality_resolution,[],[f34]) ).
fof(f39,plain,
! [X2,X3] :
( ~ relation(sK1,of,X2)
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(sK1) ),
inference(equality_resolution,[],[f38]) ).
cnf(c_49,plain,
~ patricide('Thersandros'),
inference(cnf_transformation,[],[f35]) ).
cnf(c_50,plain,
patricide(sK4),
inference(cnf_transformation,[],[f23]) ).
cnf(c_51,plain,
relation(sK3,of,'Thersandros'),
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
parent(sK3),
inference(cnf_transformation,[],[f20]) ).
cnf(c_53,plain,
sK4 = sK2,
inference(cnf_transformation,[],[f28]) ).
cnf(c_54,plain,
relation(sK2,of,sK3),
inference(cnf_transformation,[],[f29]) ).
cnf(c_55,plain,
parent(sK2),
inference(cnf_transformation,[],[f17]) ).
cnf(c_56,plain,
relation(sK1,of,sK3),
inference(cnf_transformation,[],[f30]) ).
cnf(c_57,plain,
parent(sK1),
inference(cnf_transformation,[],[f14]) ).
cnf(c_58,plain,
sK1 = sK0,
inference(cnf_transformation,[],[f31]) ).
cnf(c_59,plain,
relation(sK0,of,sK4),
inference(cnf_transformation,[],[f32]) ).
cnf(c_61,negated_conjecture,
( ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| ~ parent(X0)
| ~ parent(sK1)
| sK5(X1) = X1 ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_62,negated_conjecture,
( ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| ~ parent(X0)
| ~ parent(sK1)
| patricide(sK5(X1)) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_65,plain,
( ~ parent(X0)
| ~ patricide(X0)
| ~ relation(sK1,of,X0)
| ~ relation(X0,of,X1)
| patricide(sK5(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_57,c_62]) ).
cnf(c_66,negated_conjecture,
( ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| ~ parent(X0)
| patricide(sK5(X1)) ),
inference(renaming,[status(thm)],[c_65]) ).
cnf(c_68,plain,
( ~ parent(X0)
| ~ patricide(X0)
| ~ relation(sK1,of,X0)
| ~ relation(X0,of,X1)
| sK5(X1) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_61,c_57,c_61]) ).
cnf(c_69,negated_conjecture,
( ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| ~ parent(X0)
| sK5(X1) = X1 ),
inference(renaming,[status(thm)],[c_68]) ).
cnf(c_115,plain,
relation(sK1,of,sK4),
inference(demodulation,[status(thm)],[c_59,c_58]) ).
cnf(c_117,plain,
relation(sK4,of,sK3),
inference(demodulation,[status(thm)],[c_54,c_53]) ).
cnf(c_118,plain,
parent(sK4),
inference(demodulation,[status(thm)],[c_55,c_53]) ).
cnf(c_140,plain,
( X0 != sK3
| ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| sK5(X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_52,c_69]) ).
cnf(c_141,plain,
( ~ relation(sK3,of,X0)
| ~ relation(sK1,of,sK3)
| ~ patricide(sK3)
| sK5(X0) = X0 ),
inference(unflattening,[status(thm)],[c_140]) ).
cnf(c_143,plain,
( ~ relation(sK3,of,X0)
| ~ patricide(sK3)
| sK5(X0) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_141,c_56,c_141]) ).
cnf(c_155,plain,
( X0 != sK3
| ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| patricide(sK5(X1)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_66]) ).
cnf(c_156,plain,
( ~ relation(sK3,of,X0)
| ~ relation(sK1,of,sK3)
| ~ patricide(sK3)
| patricide(sK5(X0)) ),
inference(unflattening,[status(thm)],[c_155]) ).
cnf(c_158,plain,
( ~ relation(sK3,of,X0)
| ~ patricide(sK3)
| patricide(sK5(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_156,c_56,c_156]) ).
cnf(c_200,plain,
( X0 != sK4
| ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| sK5(X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_69,c_118]) ).
cnf(c_201,plain,
( ~ relation(sK4,of,X0)
| ~ relation(sK1,of,sK4)
| ~ patricide(sK4)
| sK5(X0) = X0 ),
inference(unflattening,[status(thm)],[c_200]) ).
cnf(c_203,plain,
( ~ relation(sK4,of,X0)
| sK5(X0) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_201,c_50,c_115,c_201]) ).
cnf(c_212,plain,
( X0 != sK4
| ~ relation(X0,of,X1)
| ~ relation(sK1,of,X0)
| ~ patricide(X0)
| patricide(sK5(X1)) ),
inference(resolution_lifted,[status(thm)],[c_66,c_118]) ).
cnf(c_213,plain,
( ~ relation(sK4,of,X0)
| ~ relation(sK1,of,sK4)
| ~ patricide(sK4)
| patricide(sK5(X0)) ),
inference(unflattening,[status(thm)],[c_212]) ).
cnf(c_215,plain,
( ~ relation(sK4,of,X0)
| patricide(sK5(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_213,c_50,c_115,c_213]) ).
cnf(c_473,plain,
( ~ patricide(sK3)
| sK5('Thersandros') = 'Thersandros' ),
inference(superposition,[status(thm)],[c_51,c_143]) ).
cnf(c_474,plain,
( ~ patricide(sK3)
| patricide(sK5('Thersandros')) ),
inference(superposition,[status(thm)],[c_51,c_158]) ).
cnf(c_485,plain,
sK5(sK3) = sK3,
inference(superposition,[status(thm)],[c_117,c_203]) ).
cnf(c_486,plain,
patricide(sK5(sK3)),
inference(superposition,[status(thm)],[c_117,c_215]) ).
cnf(c_487,plain,
patricide(sK3),
inference(light_normalisation,[status(thm)],[c_486,c_485]) ).
cnf(c_502,plain,
patricide(sK5('Thersandros')),
inference(forward_subsumption_resolution,[status(thm)],[c_474,c_487]) ).
cnf(c_509,plain,
sK5('Thersandros') = 'Thersandros',
inference(forward_subsumption_resolution,[status(thm)],[c_473,c_487]) ).
cnf(c_510,plain,
patricide('Thersandros'),
inference(demodulation,[status(thm)],[c_502,c_509]) ).
cnf(c_511,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_510,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ128+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 21:21:24 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 0.48/1.14 % SZS status Started for theBenchmark.p
% 0.48/1.14 % SZS status Theorem for theBenchmark.p
% 0.48/1.14
% 0.48/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.14
% 0.48/1.14 ------ iProver source info
% 0.48/1.14
% 0.48/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.14 git: non_committed_changes: false
% 0.48/1.14
% 0.48/1.14 ------ Parsing...
% 0.48/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.14
% 0.48/1.14 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e
% 0.48/1.14
% 0.48/1.14 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.14
% 0.48/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.14 ------ Proving...
% 0.48/1.14 ------ Problem Properties
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 clauses 16
% 0.48/1.14 conjectures 0
% 0.48/1.14 EPR 10
% 0.48/1.14 Horn 16
% 0.48/1.14 unary 8
% 0.48/1.14 binary 2
% 0.48/1.14 lits 30
% 0.48/1.14 lits eq 5
% 0.48/1.14 fd_pure 0
% 0.48/1.14 fd_pseudo 0
% 0.48/1.14 fd_cond 0
% 0.48/1.14 fd_pseudo_cond 0
% 0.48/1.14 AC symbols 0
% 0.48/1.14
% 0.48/1.14 ------ Schedule dynamic 5 is on
% 0.48/1.14
% 0.48/1.14 ------ no conjectures: strip conj schedule
% 0.48/1.14
% 0.48/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 ------
% 0.48/1.14 Current options:
% 0.48/1.14 ------
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 ------ Proving...
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% 0.48/1.14 % SZS status Theorem for theBenchmark.p
% 0.48/1.14
% 0.48/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 0.48/1.14
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