%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 03:03:42 PM UTC 2026
% Result : Theorem 3.24s 7.90s
% Output : Proof 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 38 unt; 0 def)
% Number of atoms : 77 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 17 ~; 11 |; 15 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 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 : 16 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
fof(f1_neg,negated_conjecture,
~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f1_nnf,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(nnf_transformation,[status(thm)],[f1_neg]) ).
fof(f1_sk,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t255,plain,
ifeq(iext(uri_rdf_type,uri_ex_w,uri_ex_c2),true,ifeq(iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),true,ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t603,plain,
ifeq(iext(uri_rdf_type,uri_ex_w,uri_ex_c2),true,ifeq(iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),true,ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true),true),true) = true,
inference(orient,[status(thm)],[t255]) ).
fof(f2,axiom,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
fof(f2_nnf,plain,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c5,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t5,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t598,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) = true,
inference(orient,[status(thm)],[t5]) ).
fof(f0,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f0_nnf,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(iext(uri_owl_sameAs,X0,X1),true,X0,X1) = X1,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(c3,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t0,plain,
uri_ex_c2 = uri_ex_c1,
inference(hyper_resolution,[status(thm)],[hi0,hi2]) ).
cnf(t604,plain,
uri_ex_c1 = uri_ex_c2,
inference(orient,[status(thm)],[t0]) ).
cnf(t685,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) = true,
inference(step,[status(thm)],[t598,t604]) ).
cnf(t605,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) = true,
inference(rw,[status(thm)],[t685]) ).
cnf(t611,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) = true,
inference(orient,[status(thm)],[t605]) ).
cnf(t690,plain,
ifeq(iext(uri_rdf_type,uri_ex_w,uri_ex_c2),true,ifeq(true,true,ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true),true),true) = true,
inference(step,[status(thm)],[t603,t611]) ).
cnf(t6,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t6]) ).
cnf(t691,plain,
ifeq(iext(uri_rdf_type,uri_ex_w,uri_ex_c2),true,ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true),true) = true,
inference(step,[status(thm)],[t690,t256]) ).
cnf(t612,plain,
ifeq(iext(uri_rdf_type,uri_ex_w,uri_ex_c2),true,ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true),true) = true,
inference(rw,[status(thm)],[t691]) ).
cnf(c4,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t3,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t596,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t687,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c2) = true,
inference(step,[status(thm)],[t596,t604]) ).
cnf(t607,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c2) = true,
inference(rw,[status(thm)],[t687]) ).
cnf(t614,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c2) = true,
inference(orient,[status(thm)],[t607]) ).
cnf(t692,plain,
ifeq(true,true,ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true),true) = true,
inference(step,[status(thm)],[t612,t614]) ).
cnf(t693,plain,
ifeq(iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),true,false,true) = true,
inference(step,[status(thm)],[t692,t256]) ).
cnf(c6,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t4,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t597,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t686,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) = true,
inference(step,[status(thm)],[t597,t604]) ).
cnf(t606,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) = true,
inference(rw,[status(thm)],[t686]) ).
cnf(t613,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) = true,
inference(orient,[status(thm)],[t606]) ).
cnf(t694,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t693,t613]) ).
cnf(t695,plain,
false = true,
inference(step,[status(thm)],[t694,t256]) ).
cnf(t615,plain,
false = true,
inference(orient,[status(thm)],[t695]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t615]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.38 % Computer : n026.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 15:25:16 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.24/7.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.24/7.90 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------