%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB017+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:16:53 PM UTC 2026
% Result : Theorem 0.11s 1.51s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 12)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_propertydisjointwith,axiom,
! [X3,X4] :
( iext(uri_owl_propertyDisjointWith,X3,X4)
<=> ( ip(X3)
& ip(X4)
& ! [X1,X2] :
~ ( iext(X3,X1,X2)
& iext(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(owl_eqdis_differentfrom,axiom,
! [X1,X2] :
( iext(uri_owl_differentFrom,X1,X2)
<=> X1 != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
fof(i_0_4,plain,
! [X13,X14,X15,X16,X17,X18] :
( ( ip(X13)
| ~ iext(uri_owl_propertyDisjointWith,X13,X14) )
& ( ip(X14)
| ~ iext(uri_owl_propertyDisjointWith,X13,X14) )
& ( ~ iext(X13,X15,X16)
| ~ iext(X14,X15,X16)
| ~ iext(uri_owl_propertyDisjointWith,X13,X14) )
& ( iext(X17,esk1_2(X17,X18),esk2_2(X17,X18))
| ~ ip(X17)
| ~ ip(X18)
| iext(uri_owl_propertyDisjointWith,X17,X18) )
& ( iext(X18,esk1_2(X17,X18),esk2_2(X17,X18))
| ~ ip(X17)
| ~ ip(X18)
| iext(uri_owl_propertyDisjointWith,X17,X18) ) ),
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_eqdis_propertydisjointwith])])])])])]) ).
fof(i_0_5,plain,
! [X11,X12] :
( ( ~ iext(uri_owl_differentFrom,X11,X12)
| X11 != X12 )
& ( X11 = X12
| iext(uri_owl_differentFrom,X11,X12) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom])]) ).
fof(i_0_6,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions])]) ).
cnf(i_0_7,plain,
( ~ iext(X1,X2,X3)
| ~ iext(X4,X2,X3)
| ~ iext(uri_owl_propertyDisjointWith,X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_8,plain,
( iext(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| iext(uri_owl_propertyDisjointWith,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_9,plain,
( iext(X1,esk1_2(X2,X1),esk2_2(X2,X1))
| iext(uri_owl_propertyDisjointWith,X2,X1)
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_10,plain,
( ip(X1)
| ~ iext(uri_owl_propertyDisjointWith,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_11,plain,
( ip(X1)
| ~ iext(uri_owl_propertyDisjointWith,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_12,plain,
( ~ iext(uri_owl_differentFrom,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_13,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(split_conjunct,[status(thm)],[i_0_6]),
[final] ).
cnf(i_0_14,plain,
( X1 = X2
| iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_15,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]),
[final] ).
cnf(i_0_16,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]),
[final] ).
cnf(i_0_17,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]),
[final] ).
cnf(i_0_18,axiom,
X1 = X1 ).
cnf(i_0_19,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_20,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_21,axiom,
( X1 != X2
| ~ iext(X1,X3,X4)
| iext(X2,X3,X4) ) ).
cnf(i_0_22,axiom,
( X1 != X2
| ~ iext(X3,X1,X4)
| iext(X3,X2,X4) ) ).
cnf(i_0_23,axiom,
( X1 != X2
| ~ iext(X3,X4,X1)
| iext(X3,X4,X2) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| ~ ip(X1)
| ip(X2) ) ).
cnf(i_0_18_001,axiom,
X1 = X1 ).
cnf(i_0_19_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_20_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_21_004,axiom,
( X1 != X2
| ~ iext(X1,X3,X4)
| iext(X2,X3,X4) ) ).
cnf(i_0_22_005,axiom,
( X1 != X2
| ~ iext(X3,X1,X4)
| iext(X3,X2,X4) ) ).
cnf(i_0_23_006,axiom,
( X1 != X2
| ~ iext(X3,X4,X1)
| iext(X3,X4,X2) ) ).
cnf(i_0_24_007,axiom,
( X1 != X2
| ~ ip(X1)
| ip(X2) ) ).
cnf(i_0_25,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(equality_inference,[],[12]) ).
cnf(i_0_26,plain,
uri_ex_w = uri_ex_u,
inference(scs_inference,[],[i_0_13,i_0_14]) ).
cnf(i_0_27,plain,
( iext(uri_owl_differentFrom,X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_28,plain,
ip(uri_ex_notInstanceOf),
inference(scs_inference,[],[i_0_13,i_0_17,i_0_14,i_0_10]) ).
cnf(i_0_29,plain,
( ~ iext(uri_owl_propertyDisjointWith,X1,X2)
| ip(X1) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_30,plain,
ip(uri_rdf_type),
inference(scs_inference,[],[i_0_13,i_0_17,i_0_14,i_0_10,i_0_11]) ).
cnf(i_0_31,plain,
( ~ iext(uri_owl_propertyDisjointWith,X1,X2)
| ip(X2) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_32,plain,
uri_ex_u = uri_ex_w,
inference(scs_inference,[],[i_0_13,i_0_17,i_0_14,i_0_10,i_0_11,i_0_19]) ).
cnf(i_0_33,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_c),
inference(scs_inference,[],[i_0_13,i_0_16,i_0_17,i_0_14,i_0_10,i_0_11,i_0_19,i_0_7]) ).
cnf(i_0_34,plain,
( ~ iext(uri_owl_propertyDisjointWith,X1,X2)
| ~ iext(X1,X3,X4)
| ~ iext(X2,X3,X4) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_35,plain,
~ iext(uri_owl_differentFrom,uri_ex_u,uri_ex_w),
inference(scs_inference,[],[i_0_13,i_0_25,i_0_16,i_0_17,i_0_14,i_0_10,i_0_11,i_0_19,i_0_7,i_0_23]) ).
cnf(i_0_36,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_37,plain,
( X1 != uri_owl_differentFrom
| ~ iext(X1,uri_ex_w,uri_ex_u) ),
inference(scs_inference,[],[i_0_13,i_0_25,i_0_16,i_0_17,i_0_14,i_0_10,i_0_11,i_0_19,i_0_7,i_0_23,i_0_21]) ).
cnf(i_0_38,plain,
( ip(X1)
| uri_ex_notInstanceOf != X1 ),
inference(scs_inference,[],[i_0_13,i_0_25,i_0_15,i_0_16,i_0_17,i_0_14,i_0_10,i_0_11,i_0_19,i_0_7,i_0_23,i_0_21,i_0_22,i_0_24]) ).
cnf(i_0_39,plain,
( iext(uri_owl_propertyDisjointWith,X1,X2)
| iext(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ ip(X1)
| ~ ip(X2) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_40,plain,
( ~ ip(uri_ex_u)
| uri_owl_propertyDisjointWith != uri_owl_differentFrom
| uri_ex_notInstanceOf != uri_ex_w
| iext(uri_ex_u,esk1_2(uri_ex_w,uri_ex_u),esk2_2(uri_ex_w,uri_ex_u)) ),
inference(scs_inference,[],[i_0_13,i_0_25,i_0_15,i_0_16,i_0_17,i_0_14,i_0_10,i_0_11,i_0_19,i_0_7,i_0_23,i_0_21,i_0_22,i_0_24,i_0_9]) ).
cnf(i_0_41,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(equality_inference,[],[37]) ).
cnf(i_0_42,plain,
ip(uri_ex_notInstanceOf),
inference(equality_inference,[],[38]) ).
cnf(i_0_43,plain,
uri_ex_notInstanceOf != uri_rdf_type,
inference(scs_inference,[],[i_0_33,i_0_16,i_0_21]) ).
cnf(i_0_44,plain,
$false,
inference(scs_inference,[],[i_0_26,i_0_33,i_0_15,i_0_16,i_0_21,i_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWB017+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 23:07:42 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.11/1.51 % Version : CSE_E---1.7
% 0.11/1.51 % Problem : theBenchmark.p
% 0.11/1.51 % SZS status Theorem for theBenchmark.p
% 0.11/1.51 % SZS output start CNFRefutation
% See solution above
% 0.11/1.54 % Total time : 1.260s
%------------------------------------------------------------------------------