%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR075+2 : 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 : n012.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 1.70s 0.70s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 18 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 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 : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 27 ( 2 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_734,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_734) ).
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(prove_from_SUMO_MILO,conjecture,
? [V_MEMBER] : s__member(V_MEMBER,s__Org1_1),
file('theBenchmark.p',prove_from_SUMO_MILO) ).
fof(prove_from_SUMO_MILO_neg,negated_conjecture,
~ ? [V_MEMBER] : s__member(V_MEMBER,s__Org1_1),
inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).
cnf(c_160,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_162,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(kb_SUMO_730,axiom,
s__subclass(s__Collection,s__Object),
file('theBenchmark.p',kb_SUMO_730) ).
cnf(c_431,plain,
s__subclass(s__Collection,s__Object),
inference(clausify,[status(thm)],[kb_SUMO_730]) ).
fof(nnf_5,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_734]) ).
fof(sk_kb_SUMO_734_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_5]) ).
fof(sk_kb_SUMO_734,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_734_sk]) ).
cnf(c_433,plain,
( s__member(sK0(A),A)
| ~ s__instance(A,s__Collection) ),
inference(split_conjunct,[status(thm)],[sk_kb_SUMO_734]) ).
fof(kb_SUMO_7741,axiom,
s__subclass(s__Group,s__Collection),
file('theBenchmark.p',kb_SUMO_7741) ).
cnf(c_482,plain,
s__subclass(s__Group,s__Collection),
inference(clausify,[status(thm)],[kb_SUMO_7741]) ).
fof(kb_SUMO_7890,axiom,
s__subclass(s__Organization,s__Group),
file('theBenchmark.p',kb_SUMO_7890) ).
cnf(c_486,plain,
s__subclass(s__Organization,s__Group),
inference(clausify,[status(thm)],[kb_SUMO_7890]) ).
fof(local_1,axiom,
s__instance(s__Org1_1,s__Organization),
file('theBenchmark.p',local_1) ).
cnf(c_523,plain,
s__instance(s__Org1_1,s__Organization),
inference(clausify,[status(thm)],[local_1]) ).
cnf(c_524,negated_conjecture,
~ s__member(A,s__Org1_1),
inference(clausify,[status(thm)],[prove_from_SUMO_MILO_neg]) ).
cnf(c_571,plain,
s__instance(s__Collection,s__SetOrClass),
inference(resolve,[status(thm)],[c_431,c_160]) ).
cnf(c_1369,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_482,c_162]) ).
cnf(c_1129,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Group)
| ~ s__instance(s__Group,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_571,c_1369]) ).
cnf(c_1130,plain,
s__instance(s__Group,s__SetOrClass),
inference(resolve,[status(thm)],[c_482,c_160]) ).
cnf(c_1132,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Group) ),
inference(resolve,[status(thm)],[c_1130,c_1129]) ).
cnf(c_1370,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_486,c_162]) ).
cnf(c_1228,plain,
( s__instance(A,s__Group)
| ~ s__instance(A,s__Organization)
| ~ s__instance(s__Organization,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1130,c_1370]) ).
cnf(c_1229,plain,
s__instance(s__Organization,s__SetOrClass),
inference(resolve,[status(thm)],[c_486,c_160]) ).
cnf(c_1231,plain,
( s__instance(A,s__Group)
| ~ s__instance(A,s__Organization) ),
inference(resolve,[status(thm)],[c_1229,c_1228]) ).
cnf(c_1350,plain,
s__instance(s__Org1_1,s__Group),
inference(resolve,[status(thm)],[c_1231,c_523]) ).
cnf(c_1352,plain,
s__instance(s__Org1_1,s__Collection),
inference(resolve,[status(thm)],[c_1350,c_1132]) ).
cnf(c_1371,plain,
s__member(sK0(s__Org1_1),s__Org1_1),
inference(resolve,[status(thm)],[c_1352,c_433]) ).
cnf(c_1368,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_524,c_1371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR075+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 00:39:34 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.31 % Process 1824529 was started by sandbox on n012,
% 0.04/0.31 % Sun Sep 27 00:39:34 2026
% 0.04/0.31 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.70/0.70
% 1.70/0.70 % SInE (scan): 242 to sos (tol 1.5x), 56 to usable (tol 2.0x), 37684 zapped, of 37982 axioms (depth 3).
% 1.70/0.70
% 1.70/0.70 % From the command line: assign(max_seconds, 300).
% 1.70/0.70
% 1.70/0.70 % SZS status Theorem for theBenchmark
% 1.70/0.70
% 1.70/0.70 % Proof 1 at 0.17 (+ 0.07) seconds.
% 1.70/0.70 % Length of proof is 22.
% 1.70/0.70 % Level of proof is 7.
% 1.70/0.70 % Maximum clause weight is 108.000.
% 1.70/0.70 % Given clauses 194.
% 1.70/0.70
% 1.70/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------