%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB025+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 : Tue May 5 05:17:10 PM UTC 2026
% Result : Theorem 0.38s 1.61s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 69 ( 24 unt; 0 def)
% Number of atoms : 329 ( 0 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 457 ( 197 ~; 205 |; 50 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 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; 0-5 aty)
% Number of variables : 158 ( 14 sgn 28 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(owl_chain_002,axiom,
! [X1,X2,X3,X4,X5] :
( ( iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X1,X2)
<=> ( ip(X1)
& ip(X3)
& ip(X5)
& ! [X6,X7,X8] :
( ( iext(X3,X6,X7)
& iext(X5,X7,X8) )
=> iext(X1,X6,X8) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(owl_inv,axiom,
! [X3,X5] :
( iext(uri_owl_inverseOf,X3,X5)
<=> ( ip(X3)
& ip(X5)
& ! [X9,X10] :
( iext(X3,X9,X10)
<=> iext(X5,X10,X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
? [X11,X12,X13,X14,X15] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X11)
& iext(uri_rdf_first,X11,uri_ex_hasCousin)
& iext(uri_rdf_rest,X11,X12)
& iext(uri_rdf_first,X12,uri_ex_hasFather)
& iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X13)
& iext(uri_rdf_first,X13,uri_ex_hasUncle)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X14,X15)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_owl_inverseOf,X15,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(i_0_4,negated_conjecture,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(i_0_5,plain,
! [X33,X34,X35,X36,X37,X38,X39,X40] :
( ( ip(X33)
| ~ iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( ip(X35)
| ~ iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( ip(X37)
| ~ iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( ~ iext(X35,X38,X39)
| ~ iext(X37,X39,X40)
| iext(X33,X38,X40)
| ~ iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( iext(X35,esk1_5(X33,X34,X35,X36,X37),esk2_5(X33,X34,X35,X36,X37))
| ~ ip(X33)
| ~ ip(X35)
| ~ ip(X37)
| iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( iext(X37,esk2_5(X33,X34,X35,X36,X37),esk3_5(X33,X34,X35,X36,X37))
| ~ ip(X33)
| ~ ip(X35)
| ~ ip(X37)
| iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( ~ iext(X33,esk1_5(X33,X34,X35,X36,X37),esk3_5(X33,X34,X35,X36,X37))
| ~ ip(X33)
| ~ ip(X35)
| ~ ip(X37)
| iext(uri_owl_propertyChainAxiom,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_002])])])])]) ).
fof(i_0_6,plain,
! [X44,X45,X46,X47,X48,X49,X50,X51] :
( ( ip(X44)
| ~ iext(uri_owl_inverseOf,X44,X45) )
& ( ip(X45)
| ~ iext(uri_owl_inverseOf,X44,X45) )
& ( ~ iext(X44,X46,X47)
| iext(X45,X47,X46)
| ~ iext(uri_owl_inverseOf,X44,X45) )
& ( ~ iext(X45,X49,X48)
| iext(X44,X48,X49)
| ~ iext(uri_owl_inverseOf,X44,X45) )
& ( ~ iext(X50,esk4_2(X50,X51),esk5_2(X50,X51))
| ~ iext(X51,esk5_2(X50,X51),esk4_2(X50,X51))
| ~ ip(X50)
| ~ ip(X51)
| iext(uri_owl_inverseOf,X50,X51) )
& ( iext(X50,esk4_2(X50,X51),esk5_2(X50,X51))
| iext(X51,esk5_2(X50,X51),esk4_2(X50,X51))
| ~ ip(X50)
| ~ ip(X51)
| iext(uri_owl_inverseOf,X50,X51) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_inv])])])])])]) ).
fof(i_0_7,negated_conjecture,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(fof_nnf,[status(thm)],[i_0_4]) ).
fof(i_0_8,plain,
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk6_0)
& iext(uri_rdf_first,esk6_0,uri_ex_hasCousin)
& iext(uri_rdf_rest,esk6_0,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_hasFather)
& iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_hasUncle)
& iext(uri_rdf_rest,esk8_0,esk9_0)
& iext(uri_rdf_first,esk9_0,esk10_0)
& iext(uri_rdf_rest,esk9_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk10_0,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties])]) ).
cnf(i_0_9,plain,
( iext(uri_owl_propertyChainAxiom,X1,X2)
| ~ iext(X1,esk1_5(X1,X2,X3,X4,X5),esk3_5(X1,X2,X3,X4,X5))
| ~ ip(X1)
| ~ ip(X3)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_10,plain,
( iext(X1,esk2_5(X2,X3,X4,X5,X1),esk3_5(X2,X3,X4,X5,X1))
| iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_11,plain,
( iext(X1,esk1_5(X2,X3,X1,X4,X5),esk2_5(X2,X3,X1,X4,X5))
| iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ ip(X2)
| ~ ip(X1)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_12,plain,
( iext(X6,X2,X5)
| ~ iext(X1,X2,X3)
| ~ iext(X4,X3,X5)
| ~ iext(uri_owl_propertyChainAxiom,X6,X7)
| ~ iext(uri_rdf_first,X7,X1)
| ~ iext(uri_rdf_rest,X7,X8)
| ~ iext(uri_rdf_first,X8,X4)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_13,plain,
( ip(X1)
| ~ iext(uri_owl_propertyChainAxiom,X1,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_14,plain,
( ip(X1)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_15,plain,
( ip(X1)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_16,plain,
( iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X1,esk4_2(X1,X2),esk5_2(X1,X2))
| ~ iext(X2,esk5_2(X1,X2),esk4_2(X1,X2))
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_17,plain,
( iext(X1,esk4_2(X1,X2),esk5_2(X1,X2))
| iext(X2,esk5_2(X1,X2),esk4_2(X1,X2))
| iext(uri_owl_inverseOf,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_18,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_19,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_20,negated_conjecture,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_21,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_22,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_23,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_24,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_25,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_26,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_27,plain,
iext(uri_owl_inverseOf,esk10_0,uri_ex_hasFather),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_28,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk8_0),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_29,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk6_0),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_30,plain,
iext(uri_rdf_rest,esk9_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_31,plain,
iext(uri_rdf_rest,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_32,plain,
iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_33,plain,
iext(uri_rdf_rest,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_34,plain,
iext(uri_rdf_first,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_35,plain,
iext(uri_rdf_first,esk8_0,uri_ex_hasUncle),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_36,plain,
iext(uri_rdf_first,esk7_0,uri_ex_hasFather),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_37,plain,
iext(uri_rdf_first,esk6_0,uri_ex_hasCousin),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_38,plain,
ip(esk10_0),
inference(scs_inference,[],[i_0_27,i_0_21]) ).
cnf(i_0_39,plain,
( ~ iext(uri_owl_inverseOf,X1,X2)
| ip(X1) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_40,plain,
ip(uri_ex_hasFather),
inference(scs_inference,[],[i_0_27,i_0_21,i_0_22]) ).
cnf(i_0_41,plain,
( ~ iext(uri_owl_inverseOf,X1,X2)
| ip(X2) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_42,plain,
iext(esk10_0,uri_ex_charly,uri_ex_bob),
inference(scs_inference,[],[i_0_23,i_0_27,i_0_21,i_0_22,i_0_19]) ).
cnf(i_0_43,plain,
( ~ iext(uri_owl_inverseOf,X1,X2)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_44,plain,
ip(uri_ex_hasCousin),
inference(scs_inference,[],[i_0_23,i_0_27,i_0_28,i_0_30,i_0_31,i_0_34,i_0_35,i_0_21,i_0_22,i_0_19,i_0_13]) ).
cnf(i_0_45,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X5)
| ip(X2) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_46,plain,
( iext(X1,uri_ex_charly,X2)
| ~ iext(esk10_0,uri_ex_bob,X2)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk9_0)
| ~ iext(uri_rdf_rest,esk9_0,esk9_0) ),
inference(scs_inference,[],[i_0_23,i_0_27,i_0_28,i_0_30,i_0_31,i_0_34,i_0_35,i_0_21,i_0_22,i_0_19,i_0_13,i_0_12]) ).
cnf(i_0_47,plain,
ip(uri_ex_hasUncle),
inference(scs_inference,[],[i_0_32,i_0_29,i_0_33,i_0_36,i_0_37,i_0_13]) ).
cnf(i_0_48,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X5)
| ip(X2) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_49,plain,
( iext(X1,uri_ex_bob,X2)
| ~ iext(uri_ex_hasFather,uri_ex_charly,X2)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
| ~ iext(uri_rdf_rest,esk7_0,esk7_0) ),
inference(scs_inference,[],[i_0_23,i_0_32,i_0_29,i_0_33,i_0_36,i_0_37,i_0_13,i_0_12]) ).
cnf(i_0_50,plain,
( iext(uri_ex_hasCousin,uri_ex_bob,X1)
| ~ iext(esk10_0,uri_ex_dave,X1) ),
inference(scs_inference,[],[i_0_30,i_0_26,i_0_28,i_0_31,i_0_35,i_0_34,i_0_12]) ).
cnf(i_0_51,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X2)
| ~ iext(uri_rdf_rest,X2,X1)
| iext(X5,X6,X7)
| ~ iext(X3,X6,X8)
| ~ iext(X4,X8,X7) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_52,plain,
( ~ iext(esk10_0,esk1_5(esk10_0,esk8_0,uri_ex_hasUncle,esk9_0,esk10_0),esk3_5(esk10_0,esk8_0,uri_ex_hasUncle,esk9_0,esk10_0))
| iext(uri_owl_propertyChainAxiom,esk10_0,esk8_0) ),
inference(scs_inference,[],[i_0_30,i_0_26,i_0_38,i_0_47,i_0_28,i_0_31,i_0_35,i_0_34,i_0_12,i_0_9]) ).
cnf(i_0_53,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(X5,esk1_5(X5,X2,X3,X1,X4),esk3_5(X5,X2,X3,X1,X4))
| iext(uri_owl_propertyChainAxiom,X5,X2)
| ~ ip(X5)
| ~ ip(X3)
| ~ ip(X4) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_54,plain,
( iext(uri_owl_propertyChainAxiom,esk10_0,esk8_0)
| iext(esk10_0,esk2_5(esk10_0,esk8_0,uri_ex_hasUncle,esk9_0,esk10_0),esk3_5(esk10_0,esk8_0,uri_ex_hasUncle,esk9_0,esk10_0)) ),
inference(scs_inference,[],[i_0_30,i_0_26,i_0_38,i_0_47,i_0_28,i_0_31,i_0_35,i_0_34,i_0_12,i_0_9,i_0_10]) ).
cnf(i_0_55,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X5)
| iext(X5,esk2_5(X2,X3,X4,X1,X5),esk3_5(X2,X3,X4,X1,X5))
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X5) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_56,plain,
( iext(uri_owl_propertyChainAxiom,esk10_0,esk8_0)
| iext(uri_ex_hasUncle,esk1_5(esk10_0,esk8_0,uri_ex_hasUncle,esk9_0,esk10_0),esk2_5(esk10_0,esk8_0,uri_ex_hasUncle,esk9_0,esk10_0)) ),
inference(scs_inference,[],[i_0_30,i_0_26,i_0_38,i_0_47,i_0_28,i_0_31,i_0_35,i_0_34,i_0_12,i_0_9,i_0_10,i_0_11]) ).
cnf(i_0_57,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X5)
| iext(X4,esk1_5(X2,X3,X4,X1,X5),esk2_5(X2,X3,X4,X1,X5))
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X5) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_58,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(scs_inference,[],[i_0_23,i_0_32,i_0_25,i_0_29,i_0_33,i_0_37,i_0_36,i_0_12]) ).
cnf(i_0_59,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X2)
| ~ iext(uri_rdf_rest,X2,X1)
| iext(X5,X6,X7)
| ~ iext(X3,X6,X8)
| ~ iext(X4,X8,X7) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_60,plain,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(scs_inference,[],[i_0_23,i_0_32,i_0_25,i_0_29,i_0_33,i_0_37,i_0_36,i_0_12,i_0_20]) ).
cnf(i_0_61,plain,
( ~ iext(uri_ex_hasFather,esk1_5(uri_ex_hasFather,esk6_0,uri_ex_hasCousin,esk7_0,uri_ex_hasFather),esk3_5(uri_ex_hasFather,esk6_0,uri_ex_hasCousin,esk7_0,uri_ex_hasFather))
| iext(uri_owl_propertyChainAxiom,uri_ex_hasFather,esk6_0) ),
inference(scs_inference,[],[i_0_23,i_0_32,i_0_25,i_0_40,i_0_44,i_0_29,i_0_33,i_0_37,i_0_36,i_0_12,i_0_20,i_0_9]) ).
cnf(i_0_62,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(X5,esk1_5(X5,X2,X3,X1,X4),esk3_5(X5,X2,X3,X1,X4))
| iext(uri_owl_propertyChainAxiom,X5,X2)
| ~ ip(X5)
| ~ ip(X3)
| ~ ip(X4) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_63,plain,
( ~ iext(esk10_0,esk3_5(uri_ex_hasFather,esk6_0,uri_ex_hasCousin,esk7_0,uri_ex_hasFather),esk1_5(uri_ex_hasFather,esk6_0,uri_ex_hasCousin,esk7_0,uri_ex_hasFather))
| iext(uri_owl_propertyChainAxiom,uri_ex_hasFather,esk6_0) ),
inference(scs_inference,[],[i_0_23,i_0_32,i_0_27,i_0_25,i_0_40,i_0_44,i_0_29,i_0_33,i_0_37,i_0_36,i_0_12,i_0_20,i_0_9,i_0_18]) ).
cnf(i_0_64,plain,
( ~ iext(uri_owl_inverseOf,X1,X2)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_65,plain,
( iext(uri_ex_hasCousin,esk1_5(uri_ex_hasFather,esk6_0,uri_ex_hasCousin,esk7_0,uri_ex_hasFather),esk2_5(uri_ex_hasFather,esk6_0,uri_ex_hasCousin,esk7_0,uri_ex_hasFather))
| iext(uri_owl_propertyChainAxiom,uri_ex_hasFather,esk6_0)
| ~ iext(uri_rdf_rest,esk6_0,esk9_0) ),
inference(scs_inference,[],[i_0_23,i_0_32,i_0_30,i_0_27,i_0_25,i_0_40,i_0_44,i_0_29,i_0_33,i_0_37,i_0_36,i_0_34,i_0_12,i_0_20,i_0_9,i_0_18,i_0_14,i_0_11]) ).
cnf(i_0_66,plain,
~ iext(esk10_0,uri_ex_dave,uri_ex_alice),
inference(scs_inference,[],[i_0_60,i_0_30,i_0_26,i_0_28,i_0_31,i_0_35,i_0_34,i_0_12]) ).
cnf(i_0_67,plain,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X2)
| ~ iext(uri_rdf_rest,X2,X1)
| iext(X5,X6,X7)
| ~ iext(X3,X6,X8)
| ~ iext(X4,X8,X7) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_68,plain,
$false,
inference(scs_inference,[],[i_0_60,i_0_30,i_0_27,i_0_24,i_0_26,i_0_28,i_0_31,i_0_35,i_0_34,i_0_12,i_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB025+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:10:20 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.38/1.61 % Version : CSE_E---1.7
% 0.38/1.61 % Problem : theBenchmark.p
% 0.38/1.61 % SZS status Theorem for theBenchmark.p
% 0.38/1.61 % SZS output start CNFRefutation
% See solution above
% 0.48/1.74 % Total time : 1.270s
%------------------------------------------------------------------------------