%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB001+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:03:39 PM UTC 2026
% Result : Theorem 2.00s 1.17s
% Output : Proof 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 39 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 3 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 6 ( 2 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).
fof(f0_neg,negated_conjecture,
~ ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
| ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
| ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
| ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t6,plain,
ifeq(iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),true,ifeq(iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f1,axiom,
( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).
fof(f1_nnf,plain,
( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t3,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t8,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t13,plain,
ifeq(true,true,ifeq(iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),true,false,true),true) = true,
inference(step,[status(thm)],[t6,t8]) ).
cnf(t5,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t7,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t5]) ).
cnf(t14,plain,
ifeq(iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),true,false,true) = true,
inference(step,[status(thm)],[t13,t7]) ).
cnf(c3,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t1,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t9,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t15,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t14,t9]) ).
cnf(t16,plain,
false = true,
inference(step,[status(thm)],[t15,t7]) ).
cnf(t12,plain,
false = true,
inference(orient,[status(thm)],[t16]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t12]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB001+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 15:17:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.00/1.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.00/1.17 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------