%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR075+3 : 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 12.41s 3.20s
% Output : CNFRefutation 12.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 38 ~; 34 |; 9 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 40 ( 5 sgn 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_27499,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_27499) ).
fof(kb_SUMO_27514,axiom,
! [V__COLL1,V__COLL2] :
( s__subCollection(V__COLL1,V__COLL2)
<=> ! [V__MEMBER] :
( ( s__instance(V__COLL1,s__Collection)
& s__instance(V__COLL2,s__Collection)
& s__instance(V__MEMBER,s__SelfConnectedObject) )
=> ( s__member(V__MEMBER,V__COLL1)
=> s__member(V__MEMBER,V__COLL2) ) ) ),
file('theBenchmark.p',kb_SUMO_27514) ).
fof(kb_SUMO_26635,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_26635) ).
fof(kb_SUMO_26636,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_26636) ).
fof(prove_from_ALL,conjecture,
? [V_MEMBER] : s__member(V_MEMBER,s__Org1_1),
file('theBenchmark.p',prove_from_ALL) ).
fof(prove_from_ALL_neg,negated_conjecture,
~ ? [V_MEMBER] : s__member(V_MEMBER,s__Org1_1),
inference(assume_negation,[status(cth)],[prove_from_ALL]) ).
cnf(c_199,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26635]) ).
cnf(c_201,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_26636]) ).
fof(kb_SUMO_16568,axiom,
s__instance(s__UnitedNations,s__Collection),
file('theBenchmark.p',kb_SUMO_16568) ).
cnf(c_379,plain,
s__instance(s__UnitedNations,s__Collection),
inference(clausify,[status(thm)],[kb_SUMO_16568]) ).
fof(kb_SUMO_27495,axiom,
s__subclass(s__Collection,s__Object),
file('theBenchmark.p',kb_SUMO_27495) ).
cnf(c_800,plain,
s__subclass(s__Collection,s__Object),
inference(clausify,[status(thm)],[kb_SUMO_27495]) ).
fof(nnf_13,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_27499]) ).
fof(sk_kb_SUMO_27499_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_13]) ).
fof(sk_kb_SUMO_27499,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_27499_sk]) ).
cnf(c_801,plain,
( s__instance(sK0(A),s__SelfConnectedObject)
| ~ s__instance(A,s__Collection) ),
inference(split_conjunct,[status(thm)],[sk_kb_SUMO_27499]) ).
cnf(c_802,plain,
( s__member(sK0(A),A)
| ~ s__instance(A,s__Collection) ),
inference(split_conjunct,[status(thm)],[sk_kb_SUMO_27499]) ).
cnf(c_803,plain,
( s__member(C,B)
| ~ s__member(C,A)
| ~ s__instance(A,s__Collection)
| ~ s__instance(B,s__Collection)
| ~ s__instance(C,s__SelfConnectedObject)
| ~ s__subCollection(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_27514]) ).
cnf(c_805,plain,
( s__instance(B,s__Collection)
| s__subCollection(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_27514]) ).
fof(kb_SUMO_35816,axiom,
s__subclass(s__Organization,s__Agent),
file('theBenchmark.p',kb_SUMO_35816) ).
cnf(c_865,plain,
s__subclass(s__Organization,s__Agent),
inference(clausify,[status(thm)],[kb_SUMO_35816]) ).
fof(kb_SUMO_69953,axiom,
s__subclass(s__Organization,s__Collection),
file('theBenchmark.p',kb_SUMO_69953) ).
cnf(c_903,plain,
s__subclass(s__Organization,s__Collection),
inference(clausify,[status(thm)],[kb_SUMO_69953]) ).
fof(local_1,axiom,
s__instance(s__Org1_1,s__Organization),
file('theBenchmark.p',local_1) ).
cnf(c_941,plain,
s__instance(s__Org1_1,s__Organization),
inference(clausify,[status(thm)],[local_1]) ).
cnf(c_942,negated_conjecture,
~ s__member(A,s__Org1_1),
inference(clausify,[status(thm)],[prove_from_ALL_neg]) ).
cnf(c_984,plain,
s__instance(sK0(s__UnitedNations),s__SelfConnectedObject),
inference(resolve,[status(thm)],[c_801,c_379]) ).
cnf(c_988,plain,
( s__subCollection(B,A)
| s__member(sK0(A),A) ),
inference(resolve,[status(thm)],[c_802,c_805]) ).
cnf(c_989,plain,
s__member(sK0(s__UnitedNations),s__UnitedNations),
inference(resolve,[status(thm)],[c_802,c_379]) ).
cnf(c_1020,plain,
s__subCollection(A,s__Org1_1),
inference(resolve,[status(thm)],[c_988,c_942]) ).
cnf(c_1237,plain,
s__instance(s__Collection,s__SetOrClass),
inference(resolve,[status(thm)],[c_800,c_199]) ).
cnf(c_3496,plain,
( s__member(A,s__Org1_1)
| ~ s__member(A,B)
| ~ s__instance(B,s__Collection)
| ~ s__instance(s__Org1_1,s__Collection)
| ~ s__instance(A,s__SelfConnectedObject) ),
inference(resolve,[status(thm)],[c_803,c_1020]) ).
cnf(c_1249,negated_conjecture,
( ~ s__member(A,B)
| ~ s__instance(B,s__Collection)
| ~ s__instance(s__Org1_1,s__Collection)
| ~ s__instance(A,s__SelfConnectedObject) ),
inference(resolve,[status(thm)],[c_942,c_3496]) ).
cnf(c_3497,plain,
( ~ s__instance(s__UnitedNations,s__Collection)
| ~ s__instance(s__Org1_1,s__Collection)
| ~ s__instance(sK0(s__UnitedNations),s__SelfConnectedObject) ),
inference(resolve,[status(thm)],[c_1249,c_989]) ).
cnf(c_3498,plain,
( ~ s__instance(s__UnitedNations,s__Collection)
| ~ s__instance(s__Org1_1,s__Collection) ),
inference(resolve,[status(thm)],[c_984,c_3497]) ).
cnf(c_1459,plain,
~ s__instance(s__Org1_1,s__Collection),
inference(resolve,[status(thm)],[c_379,c_3498]) ).
cnf(c_2478,plain,
s__instance(s__Organization,s__SetOrClass),
inference(resolve,[status(thm)],[c_865,c_199]) ).
cnf(c_3499,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Organization)
| ~ s__instance(s__Organization,s__SetOrClass)
| ~ s__instance(s__Collection,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_903,c_201]) ).
cnf(c_3500,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Organization)
| ~ s__instance(s__Organization,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1237,c_3499]) ).
cnf(c_2859,plain,
( s__instance(A,s__Collection)
| ~ s__instance(A,s__Organization) ),
inference(resolve,[status(thm)],[c_2478,c_3500]) ).
cnf(c_3501,plain,
s__instance(s__Org1_1,s__Collection),
inference(resolve,[status(thm)],[c_2859,c_941]) ).
cnf(c_3495,plain,
$false,
inference(resolve,[status(thm)],[c_1459,c_3501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR075+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 00:40:54 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.39 % Process 690602 was started by sandbox on n008,
% 0.12/0.39 % Sun Sep 27 00:40:54 2026
% 0.12/0.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.23/0.55 WARNING: token truncated at 4095 chars (line 64008)
% 0.23/0.56 WARNING: token truncated at 4095 chars (line 64302)
% 0.23/0.56 WARNING: token truncated at 4095 chars (line 64389)
% 0.23/0.56 WARNING: token truncated at 4095 chars (line 65430)
% 0.23/0.56 WARNING: token truncated at 4095 chars (line 65625)
% 0.23/0.57 WARNING: token truncated at 4095 chars (line 65856)
% 12.41/3.20
% 12.41/3.20 % SInE (scan): 708 to sos (tol 1.5x), 78 to usable (tol 2.0x), 144316 zapped, of 145102 axioms (depth 3).
% 12.41/3.20
% 12.41/3.20 % From the command line: assign(max_seconds, 300).
% 12.41/3.20
% 12.41/3.20 % given #500 (T,wt=11): 2620 -s__instance(A,s__Formula) | s__instance(A,s__Physical). [back_unit_del(2617),unit_del(a,2618)].
% 12.41/3.20
% 12.41/3.20 % SZS status Theorem for theBenchmark
% 12.41/3.20
% 12.41/3.20 % Proof 1 at 1.04 (+ 0.48) seconds.
% 12.41/3.20 % Length of proof is 27.
% 12.41/3.20 % Level of proof is 6.
% 12.41/3.20 % Maximum clause weight is 108.000.
% 12.41/3.20 % Given clauses 662.
% 12.41/3.20
% 12.41/3.20 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------