%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR075+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Sun Sep 27 07:07:10 AM UTC 2026
% Result : Theorem 11.77s 2.22s
% Output : CNFRefutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 22 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 57 ( 24 ~; 22 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 27 ( 2 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_26,axiom,
! [V__X,V__Y] :
( s__subclass(V__X,V__Y)
=> ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) ) ),
file('theBenchmark.p',kb_SUMO_26) ).
fof(kb_SUMO_27,axiom,
! [V__X,V__Y,V__Z] :
( ( s__instance(V__X,s__SetOrClass)
& s__instance(V__Y,s__SetOrClass) )
=> ( ( s__instance(V__Z,V__X)
& s__subclass(V__X,V__Y) )
=> s__instance(V__Z,V__Y) ) ),
file('theBenchmark.p',kb_SUMO_27) ).
fof(kb_SUMO_630,axiom,
! [V__COLL] :
( s__instance(V__COLL,s__Collection)
=> ? [V__OBJ] :
( s__member(V__OBJ,V__COLL)
& s__instance(V__OBJ,s__SelfConnectedObject) ) ),
file('theBenchmark.p',kb_SUMO_630) ).
fof(prove_from_SUMO,conjecture,
? [V_MEMBER] : s__member(V_MEMBER,s__Org1_1),
file('theBenchmark.p',prove_from_SUMO) ).
fof(prove_from_SUMO_neg,negated_conjecture,
~ ? [V_MEMBER] : s__member(V_MEMBER,s__Org1_1),
inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).
fof(kb_SUMO_6745,axiom,
s__subclass(s__ReligiousOrganization,s__Organization),
file('theBenchmark.p',kb_SUMO_6745) ).
cnf(c_410,plain,
s__subclass(s__ReligiousOrganization,s__Organization),
inference(clausify,[status(thm)],[kb_SUMO_6745]) ).
fof(kb_SUMOcache_7288,axiom,
s__subclass(s__AgeGroup,s__Collection),
file('theBenchmark.p',kb_SUMOcache_7288) ).
cnf(c_587,plain,
s__subclass(s__AgeGroup,s__Collection),
inference(clausify,[status(thm)],[kb_SUMOcache_7288]) ).
fof(kb_SUMOcache_7290,axiom,
s__subclass(s__AgeGroup,s__Group),
file('theBenchmark.p',kb_SUMOcache_7290) ).
cnf(c_589,plain,
s__subclass(s__AgeGroup,s__Group),
inference(clausify,[status(thm)],[kb_SUMOcache_7290]) ).
cnf(c_605,plain,
( s__instance(B,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_606,plain,
( s__instance(C,A)
| ~ s__instance(C,B)
| ~ s__subclass(B,A)
| ~ s__instance(B,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(clausify,[status(thm)],[kb_SUMO_27]) ).
fof(nnf_9,plain,
! [V__COLL] :
( ? [V__OBJ] :
( s__member(V__OBJ,V__COLL)
& s__instance(V__OBJ,s__SelfConnectedObject) )
| ~ s__instance(V__COLL,s__Collection) ),
inference(fof_nnf,[status(thm)],[kb_SUMO_630]) ).
fof(sk_kb_SUMO_630_sk,plain,
! [V__COLL] :
( ( s__member(sK0(V__COLL),V__COLL)
& s__instance(sK0(V__COLL),s__SelfConnectedObject) )
| ~ s__instance(V__COLL,s__Collection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(V__OBJ,sK0(V__COLL))],[nnf_9]) ).
fof(sk_kb_SUMO_630,plain,
( ! [VAR_0] :
( s__member(sK0(VAR_0),VAR_0)
| ~ s__instance(VAR_0,s__Collection) )
& ! [VAR_0] :
( s__instance(sK0(VAR_0),s__SelfConnectedObject)
| ~ s__instance(VAR_0,s__Collection) ) ),
inference(cnf_transformation,[status(thm)],[sk_kb_SUMO_630_sk]) ).
cnf(c_619,plain,
( s__member(sK0(A),A)
| ~ s__instance(A,s__Collection) ),
inference(split_conjunct,[status(thm)],[sk_kb_SUMO_630]) ).
fof(kb_SUMO_6547,axiom,
s__subclass(s__Group,s__Collection),
file('theBenchmark.p',kb_SUMO_6547) ).
cnf(c_693,plain,
s__subclass(s__Group,s__Collection),
inference(clausify,[status(thm)],[kb_SUMO_6547]) ).
fof(kb_SUMO_6696,axiom,
s__subclass(s__Organization,s__Group),
file('theBenchmark.p',kb_SUMO_6696) ).
cnf(c_699,plain,
s__subclass(s__Organization,s__Group),
inference(clausify,[status(thm)],[kb_SUMO_6696]) ).
fof(local_1,axiom,
s__instance(s__Org1_1,s__Organization),
file('theBenchmark.p',local_1) ).
cnf(c_747,plain,
s__instance(s__Org1_1,s__Organization),
inference(clausify,[status(thm)],[local_1]) ).
cnf(c_748,negated_conjecture,
~ s__member(A,s__Org1_1),
inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).
cnf(c_833,plain,
s__instance(s__Group,s__SetOrClass),
inference(resolve,[status(thm)],[c_605,c_589]) ).
cnf(c_835,plain,
s__instance(s__Collection,s__SetOrClass),
inference(resolve,[status(thm)],[c_605,c_587]) ).
cnf(c_843,plain,
s__instance(s__Organization,s__SetOrClass),
inference(resolve,[status(thm)],[c_605,c_410]) ).
cnf(c_4868,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Group)
| ~ s__instance(s__Group,s__SetOrClass)
| ~ s__instance(s__Collection,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_693,c_606]) ).
cnf(c_4869,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Group)
| ~ s__instance(s__Group,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_835,c_4868]) ).
cnf(c_3979,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Group) ),
inference(resolve,[status(thm)],[c_833,c_4869]) ).
cnf(c_4870,plain,
( s__instance(A,s__Group)
| ~ s__instance(A,s__Organization)
| ~ s__instance(s__Organization,s__SetOrClass)
| ~ s__instance(s__Group,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_699,c_606]) ).
cnf(c_4871,plain,
( s__instance(A,s__Group)
| ~ s__instance(A,s__Organization)
| ~ s__instance(s__Organization,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_833,c_4870]) ).
cnf(c_4015,plain,
( s__instance(A,s__Group)
| ~ s__instance(A,s__Organization) ),
inference(resolve,[status(thm)],[c_843,c_4871]) ).
cnf(c_4850,plain,
s__instance(s__Org1_1,s__Group),
inference(resolve,[status(thm)],[c_4015,c_747]) ).
cnf(c_4852,plain,
s__instance(s__Org1_1,s__Collection),
inference(resolve,[status(thm)],[c_4850,c_3979]) ).
cnf(c_4872,plain,
s__member(sK0(s__Org1_1),s__Org1_1),
inference(resolve,[status(thm)],[c_4852,c_619]) ).
cnf(c_4867,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_748,c_4872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR075+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 00:40:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 690207 was started by sandbox on n008,
% 0.09/0.36 % Sun Sep 27 00:40:39 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 11.77/2.22
% 11.77/2.22 % SInE (scan): 466 to sos (tol 1.5x), 50 to usable (tol 2.0x), 14272 zapped, of 14788 axioms (depth 3).
% 11.77/2.22
% 11.77/2.22 % From the command line: assign(max_seconds, 300).
% 11.77/2.22
% 11.77/2.22 % given #500 (T,wt=6): 1062 s__overlapsSpatially__m != A | s__instance(A,s__BinaryRelation). [resolve(609,c,455,a),flip(a),unit_del(b,774)].
% 11.77/2.22
% 11.77/2.22 % given #1000 (T,wt=6): 3226 s__ListLengthFn(s__ListFn_2(s__OrganicObject,s__Object)) = do_2. [resolve(664,c,554,a),unit_del(a,777),unit_del(b,782)].
% 11.77/2.22
% 11.77/2.22 % SZS status Theorem for theBenchmark
% 11.77/2.22
% 11.77/2.22 % Proof 1 at 1.47 (+ 0.20) seconds.
% 11.77/2.22 % Length of proof is 22.
% 11.77/2.22 % Level of proof is 6.
% 11.77/2.22 % Maximum clause weight is 115.000.
% 11.77/2.22 % Given clauses 1490.
% 11.77/2.22
% 11.77/2.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------