TSTP Solution File: SWB025+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB025+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : Thu Aug 31 20:09:22 EDT 2023
% Result : Theorem 18.05s 3.19s
% Output : CNFRefutation 18.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 80 ( 35 unt; 0 def)
% Number of atoms : 412 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 506 ( 174 ~; 171 |; 146 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-3 aty)
% Number of variables : 195 ( 0 sgn; 105 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,axiom,
! [X1,X11,X32,X13,X33] :
( ( iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_first,X13,X33)
& iext(uri_rdf_rest,X11,X13)
& iext(uri_rdf_first,X11,X32) )
=> ( iext(uri_owl_propertyChainAxiom,X1,X11)
<=> ( ! [X35,X26,X27] :
( ( iext(X33,X26,X27)
& iext(X32,X35,X26) )
=> iext(X1,X35,X27) )
& ip(X33)
& ip(X32)
& ip(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f391,axiom,
! [X32,X33] :
( iext(uri_owl_inverseOf,X32,X33)
<=> ( ! [X3,X6] :
( iext(X32,X3,X6)
<=> iext(X33,X6,X3) )
& ip(X33)
& ip(X32) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f559,conjecture,
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f560,negated_conjecture,
~ ( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(negated_conjecture,[],[f559]) ).
fof(f561,axiom,
? [X41,X42,X43,X44,X45] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X45,uri_ex_hasFather)
& iext(uri_rdf_rest,X44,uri_rdf_nil)
& iext(uri_rdf_first,X44,X45)
& iext(uri_rdf_rest,X43,X44)
& iext(uri_rdf_first,X43,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X43)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X42,uri_ex_hasFather)
& iext(uri_rdf_rest,X41,X42)
& iext(uri_rdf_first,X41,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f792,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(rectify,[],[f389]) ).
fof(f794,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f391]) ).
fof(f920,plain,
? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_hasFather)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X0) ),
inference(rectify,[],[f561]) ).
fof(f1191,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f792]) ).
fof(f1192,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1191]) ).
fof(f1329,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(ennf_transformation,[],[f560]) ).
fof(f1841,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(nnf_transformation,[],[f1192]) ).
fof(f1842,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1841]) ).
fof(f1843,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(rectify,[],[f1842]) ).
fof(f1844,plain,
! [X0,X2,X4] :
( ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> ( ~ iext(X0,sK211(X0,X2,X4),sK213(X0,X2,X4))
& iext(X4,sK212(X0,X2,X4),sK213(X0,X2,X4))
& iext(X2,sK211(X0,X2,X4),sK212(X0,X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f1845,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ~ iext(X0,sK211(X0,X2,X4),sK213(X0,X2,X4))
& iext(X4,sK212(X0,X2,X4),sK213(X0,X2,X4))
& iext(X2,sK211(X0,X2,X4),sK212(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK211,sK212,sK213])],[f1843,f1844]) ).
fof(f1853,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f794]) ).
fof(f1854,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f1853]) ).
fof(f1855,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f1854]) ).
fof(f1856,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
=> ( ( ~ iext(X1,sK219(X0,X1),sK218(X0,X1))
| ~ iext(X0,sK218(X0,X1),sK219(X0,X1)) )
& ( iext(X1,sK219(X0,X1),sK218(X0,X1))
| iext(X0,sK218(X0,X1),sK219(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1857,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ( ( ~ iext(X1,sK219(X0,X1),sK218(X0,X1))
| ~ iext(X0,sK218(X0,X1),sK219(X0,X1)) )
& ( iext(X1,sK219(X0,X1),sK218(X0,X1))
| iext(X0,sK218(X0,X1),sK219(X0,X1)) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK218,sK219])],[f1855,f1856]) ).
fof(f1920,plain,
( ? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_hasFather)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X0) )
=> ( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,sK255,uri_ex_hasFather)
& iext(uri_rdf_rest,sK254,uri_rdf_nil)
& iext(uri_rdf_first,sK254,sK255)
& iext(uri_rdf_rest,sK253,sK254)
& iext(uri_rdf_first,sK253,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK253)
& iext(uri_rdf_rest,sK252,uri_rdf_nil)
& iext(uri_rdf_first,sK252,uri_ex_hasFather)
& iext(uri_rdf_rest,sK251,sK252)
& iext(uri_rdf_first,sK251,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK251) ) ),
introduced(choice_axiom,[]) ).
fof(f1921,plain,
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,sK255,uri_ex_hasFather)
& iext(uri_rdf_rest,sK254,uri_rdf_nil)
& iext(uri_rdf_first,sK254,sK255)
& iext(uri_rdf_rest,sK253,sK254)
& iext(uri_rdf_first,sK253,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK253)
& iext(uri_rdf_rest,sK252,uri_rdf_nil)
& iext(uri_rdf_first,sK252,uri_ex_hasFather)
& iext(uri_rdf_rest,sK251,sK252)
& iext(uri_rdf_first,sK251,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK251) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252,sK253,sK254,sK255])],[f920,f1920]) ).
fof(f2947,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1845]) ).
fof(f2966,plain,
! [X0,X1,X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X5,X4)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f1857]) ).
fof(f3211,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[],[f1329]) ).
fof(f3212,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK251),
inference(cnf_transformation,[],[f1921]) ).
fof(f3213,plain,
iext(uri_rdf_first,sK251,uri_ex_hasCousin),
inference(cnf_transformation,[],[f1921]) ).
fof(f3214,plain,
iext(uri_rdf_rest,sK251,sK252),
inference(cnf_transformation,[],[f1921]) ).
fof(f3215,plain,
iext(uri_rdf_first,sK252,uri_ex_hasFather),
inference(cnf_transformation,[],[f1921]) ).
fof(f3216,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3217,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK253),
inference(cnf_transformation,[],[f1921]) ).
fof(f3218,plain,
iext(uri_rdf_first,sK253,uri_ex_hasUncle),
inference(cnf_transformation,[],[f1921]) ).
fof(f3219,plain,
iext(uri_rdf_rest,sK253,sK254),
inference(cnf_transformation,[],[f1921]) ).
fof(f3220,plain,
iext(uri_rdf_first,sK254,sK255),
inference(cnf_transformation,[],[f1921]) ).
fof(f3221,plain,
iext(uri_rdf_rest,sK254,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3222,plain,
iext(uri_owl_inverseOf,sK255,uri_ex_hasFather),
inference(cnf_transformation,[],[f1921]) ).
fof(f3223,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f1921]) ).
fof(f3224,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f1921]) ).
fof(f3225,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f1921]) ).
fof(f3226,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f1921]) ).
cnf(c_1062,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X7,X5)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| iext(X7,X1,X4) ),
inference(cnf_transformation,[],[f2947]) ).
cnf(c_1080,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X3,X0)
| iext(X3,X2,X1) ),
inference(cnf_transformation,[],[f2966]) ).
cnf(c_1326,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[],[f3211]) ).
cnf(c_1327,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f3226]) ).
cnf(c_1328,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f3225]) ).
cnf(c_1329,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f3224]) ).
cnf(c_1330,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f3223]) ).
cnf(c_1331,plain,
iext(uri_owl_inverseOf,sK255,uri_ex_hasFather),
inference(cnf_transformation,[],[f3222]) ).
cnf(c_1332,plain,
iext(uri_rdf_rest,sK254,uri_rdf_nil),
inference(cnf_transformation,[],[f3221]) ).
cnf(c_1333,plain,
iext(uri_rdf_first,sK254,sK255),
inference(cnf_transformation,[],[f3220]) ).
cnf(c_1334,plain,
iext(uri_rdf_rest,sK253,sK254),
inference(cnf_transformation,[],[f3219]) ).
cnf(c_1335,plain,
iext(uri_rdf_first,sK253,uri_ex_hasUncle),
inference(cnf_transformation,[],[f3218]) ).
cnf(c_1336,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK253),
inference(cnf_transformation,[],[f3217]) ).
cnf(c_1337,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f3216]) ).
cnf(c_1338,plain,
iext(uri_rdf_first,sK252,uri_ex_hasFather),
inference(cnf_transformation,[],[f3215]) ).
cnf(c_1339,plain,
iext(uri_rdf_rest,sK251,sK252),
inference(cnf_transformation,[],[f3214]) ).
cnf(c_1340,plain,
iext(uri_rdf_first,sK251,uri_ex_hasCousin),
inference(cnf_transformation,[],[f3213]) ).
cnf(c_1341,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK251),
inference(cnf_transformation,[],[f3212]) ).
cnf(c_65102,plain,
( ~ iext(X0,uri_ex_bob,X1)
| ~ iext(uri_rdf_first,X2,X0)
| ~ iext(uri_rdf_rest,X3,X2)
| ~ iext(uri_owl_propertyChainAxiom,X4,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_hasCousin)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| iext(X4,uri_ex_alice,X1) ),
inference(superposition,[status(thm)],[c_1329,c_1062]) ).
cnf(c_65626,plain,
( ~ iext(X0,uri_ex_bob,X1)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_rest,X3,sK252)
| iext(X2,uri_ex_alice,X1) ),
inference(superposition,[status(thm)],[c_1337,c_65102]) ).
cnf(c_66206,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_hasCousin)
| ~ iext(uri_rdf_rest,X1,sK252)
| ~ iext(uri_ex_hasFather,uri_ex_bob,X2)
| iext(X0,uri_ex_alice,X2) ),
inference(superposition,[status(thm)],[c_1338,c_65626]) ).
cnf(c_66480,plain,
( ~ iext(uri_ex_hasFather,uri_ex_bob,X0)
| ~ iext(uri_rdf_first,sK251,uri_ex_hasCousin)
| ~ iext(uri_rdf_rest,sK251,sK252)
| iext(uri_ex_hasUncle,uri_ex_alice,X0) ),
inference(superposition,[status(thm)],[c_1341,c_66206]) ).
cnf(c_66750,plain,
( ~ iext(uri_ex_hasFather,uri_ex_bob,X0)
| iext(uri_ex_hasUncle,uri_ex_alice,X0) ),
inference(global_subsumption_just,[status(thm)],[c_66480,c_1340,c_1339,c_66480]) ).
cnf(c_66757,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(superposition,[status(thm)],[c_1328,c_66750]) ).
cnf(c_77116,plain,
( ~ iext(X0,uri_ex_dave,X1)
| ~ iext(uri_rdf_first,X2,X0)
| ~ iext(uri_rdf_rest,X3,X2)
| ~ iext(uri_owl_propertyChainAxiom,X4,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_hasUncle)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| iext(X4,uri_ex_bob,X1) ),
inference(superposition,[status(thm)],[c_1327,c_1062]) ).
cnf(c_77691,plain,
( ~ iext(X0,uri_ex_dave,X1)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sK254,X0)
| ~ iext(uri_rdf_rest,X3,sK254)
| iext(X2,uri_ex_bob,X1) ),
inference(superposition,[status(thm)],[c_1332,c_77116]) ).
cnf(c_78406,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_hasUncle)
| ~ iext(uri_rdf_rest,X1,sK254)
| ~ iext(sK255,uri_ex_dave,X2)
| iext(X0,uri_ex_bob,X2) ),
inference(superposition,[status(thm)],[c_1333,c_77691]) ).
cnf(c_78948,plain,
( ~ iext(sK255,uri_ex_dave,X0)
| ~ iext(uri_rdf_first,sK253,uri_ex_hasUncle)
| ~ iext(uri_rdf_rest,sK253,sK254)
| iext(uri_ex_hasCousin,uri_ex_bob,X0) ),
inference(superposition,[status(thm)],[c_1336,c_78406]) ).
cnf(c_79536,plain,
( ~ iext(sK255,uri_ex_dave,X0)
| iext(uri_ex_hasCousin,uri_ex_bob,X0) ),
inference(global_subsumption_just,[status(thm)],[c_78948,c_1335,c_1334,c_78948]) ).
cnf(c_82671,negated_conjecture,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(global_subsumption_just,[status(thm)],[c_1326,c_1326,c_66757]) ).
cnf(c_82722,plain,
( ~ iext(uri_owl_inverseOf,X0,uri_ex_hasFather)
| iext(X0,uri_ex_dave,uri_ex_alice) ),
inference(superposition,[status(thm)],[c_1330,c_1080]) ).
cnf(c_82898,plain,
( ~ iext(X0,uri_ex_dave,X1)
| ~ iext(uri_rdf_first,X2,X0)
| ~ iext(uri_rdf_rest,X3,X2)
| ~ iext(uri_owl_propertyChainAxiom,X4,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_hasUncle)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| iext(X4,uri_ex_bob,X1) ),
inference(superposition,[status(thm)],[c_1327,c_1062]) ).
cnf(c_83021,plain,
iext(sK255,uri_ex_dave,uri_ex_alice),
inference(superposition,[status(thm)],[c_1331,c_82722]) ).
cnf(c_83549,plain,
( ~ iext(X0,uri_ex_dave,X1)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sK254,X0)
| ~ iext(uri_rdf_rest,X3,sK254)
| iext(X2,uri_ex_bob,X1) ),
inference(superposition,[status(thm)],[c_1332,c_82898]) ).
cnf(c_84242,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_hasUncle)
| ~ iext(uri_rdf_rest,X1,sK254)
| ~ iext(sK255,uri_ex_dave,X2)
| iext(X0,uri_ex_bob,X2) ),
inference(superposition,[status(thm)],[c_1333,c_83549]) ).
cnf(c_85003,plain,
( ~ iext(sK255,uri_ex_dave,X0)
| ~ iext(uri_rdf_first,sK253,uri_ex_hasUncle)
| ~ iext(uri_rdf_rest,sK253,sK254)
| iext(uri_ex_hasCousin,uri_ex_bob,X0) ),
inference(superposition,[status(thm)],[c_1336,c_84242]) ).
cnf(c_85682,plain,
( ~ iext(sK255,uri_ex_dave,X0)
| iext(uri_ex_hasCousin,uri_ex_bob,X0) ),
inference(global_subsumption_just,[status(thm)],[c_85003,c_79536]) ).
cnf(c_85688,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(superposition,[status(thm)],[c_83021,c_85682]) ).
cnf(c_85689,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_82671,c_85688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB025+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 : Sun Aug 27 07:48:26 EDT 2023
% 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.05/3.19 % SZS status Started for theBenchmark.p
% 18.05/3.19 % SZS status Theorem for theBenchmark.p
% 18.05/3.19
% 18.05/3.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 18.05/3.19
% 18.05/3.19 ------ iProver source info
% 18.05/3.19
% 18.05/3.19 git: date: 2023-05-31 18:12:56 +0000
% 18.05/3.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 18.05/3.19 git: non_committed_changes: false
% 18.05/3.19 git: last_make_outside_of_git: false
% 18.05/3.19
% 18.05/3.19 ------ Parsing...
% 18.05/3.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 18.05/3.19
% 18.05/3.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 18.05/3.19
% 18.05/3.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 18.05/3.19
% 18.05/3.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.05/3.19 ------ Proving...
% 18.05/3.19 ------ Problem Properties
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 clauses 1184
% 18.05/3.19 conjectures 1
% 18.05/3.19 EPR 724
% 18.05/3.19 Horn 915
% 18.05/3.19 unary 239
% 18.05/3.19 binary 456
% 18.05/3.19 lits 3749
% 18.05/3.19 lits eq 197
% 18.05/3.19 fd_pure 0
% 18.05/3.19 fd_pseudo 0
% 18.05/3.19 fd_cond 0
% 18.05/3.19 fd_pseudo_cond 66
% 18.05/3.19 AC symbols 0
% 18.05/3.19
% 18.05/3.19 ------ Input Options Time Limit: Unbounded
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------
% 18.05/3.19 Current options:
% 18.05/3.19 ------
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 ------ Proving...
% 18.05/3.19
% 18.05/3.19
% 18.05/3.19 % SZS status Theorem for theBenchmark.p
% 18.05/3.19
% 18.05/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.05/3.19
% 18.05/3.19
%------------------------------------------------------------------------------