%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR086+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 : n001.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 07:07:16 AM UTC 2026
% Result : Theorem 76.66s 12.08s
% Output : CNFRefutation 76.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 76 ( 32 ~; 29 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 28 ( 1 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(kb_SUMO_32710,axiom,
! [V__LOOP] :
( s__instance(V__LOOP,s__GraphArc)
=> ( s__instance(V__LOOP,s__GraphLoop)
<=> ? [V__NODE] :
( s__links(V__NODE,V__NODE,V__LOOP)
& s__instance(V__NODE,s__GraphNode) ) ) ),
file('theBenchmark.p',kb_SUMO_32710) ).
fof(prove_from_ALL,conjecture,
? [V_NODE] : s__links(V_NODE,V_NODE,s__Arc13_1),
file('theBenchmark.p',prove_from_ALL) ).
fof(prove_from_ALL_neg,negated_conjecture,
~ ? [V_NODE] : s__links(V_NODE,V_NODE,s__Arc13_1),
inference(assume_negation,[status(cth)],[prove_from_ALL]) ).
cnf(c_997,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26635]) ).
cnf(c_999,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_32703,axiom,
s__subclass(s__GraphArc,s__GraphElement),
file('theBenchmark.p',kb_SUMO_32703) ).
cnf(c_1081,plain,
s__subclass(s__GraphArc,s__GraphElement),
inference(clausify,[status(thm)],[kb_SUMO_32703]) ).
fof(kb_SUMO_32707,axiom,
s__subclass(s__GraphLoop,s__GraphArc),
file('theBenchmark.p',kb_SUMO_32707) ).
cnf(c_1085,plain,
s__subclass(s__GraphLoop,s__GraphArc),
inference(clausify,[status(thm)],[kb_SUMO_32707]) ).
fof(nnf_64,plain,
! [V__LOOP] :
( ( ( ! [V__NODE] :
( ~ s__links(V__NODE,V__NODE,V__LOOP)
| ~ s__instance(V__NODE,s__GraphNode) )
| s__instance(V__LOOP,s__GraphLoop) )
& ( ? [X0] :
( s__links(X0,X0,V__LOOP)
& s__instance(X0,s__GraphNode) )
| ~ s__instance(V__LOOP,s__GraphLoop) ) )
| ~ s__instance(V__LOOP,s__GraphArc) ),
inference(fof_nnf,[status(thm)],[kb_SUMO_32710]) ).
fof(sk_kb_SUMO_32710_sk,plain,
! [V__LOOP] :
( ( ( ! [V__NODE] :
( ~ s__links(V__NODE,V__NODE,V__LOOP)
| ~ s__instance(V__NODE,s__GraphNode) )
| s__instance(V__LOOP,s__GraphLoop) )
& ( ( s__links(sK0(V__LOOP),sK0(V__LOOP),V__LOOP)
& s__instance(sK0(V__LOOP),s__GraphNode) )
| ~ s__instance(V__LOOP,s__GraphLoop) ) )
| ~ s__instance(V__LOOP,s__GraphArc) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0(V__LOOP))],[nnf_64]) ).
fof(sk_kb_SUMO_32710,plain,
( ! [VAR_0,VAR_1] :
( ~ s__links(VAR_1,VAR_1,VAR_0)
| ~ s__instance(VAR_1,s__GraphNode)
| s__instance(VAR_0,s__GraphLoop)
| ~ s__instance(VAR_0,s__GraphArc) )
& ! [VAR_0] :
( s__links(sK0(VAR_0),sK0(VAR_0),VAR_0)
| ~ s__instance(VAR_0,s__GraphLoop)
| ~ s__instance(VAR_0,s__GraphArc) )
& ! [VAR_0] :
( s__instance(sK0(VAR_0),s__GraphNode)
| ~ s__instance(VAR_0,s__GraphLoop)
| ~ s__instance(VAR_0,s__GraphArc) ) ),
inference(cnf_transformation,[status(thm)],[sk_kb_SUMO_32710_sk]) ).
cnf(c_1087,plain,
( s__links(sK0(A),sK0(A),A)
| ~ s__instance(A,s__GraphLoop)
| ~ s__instance(A,s__GraphArc) ),
inference(split_conjunct,[status(thm)],[sk_kb_SUMO_32710]) ).
fof(local_1,axiom,
s__instance(s__Arc13_1,s__GraphLoop),
file('theBenchmark.p',local_1) ).
cnf(c_1131,plain,
s__instance(s__Arc13_1,s__GraphLoop),
inference(clausify,[status(thm)],[local_1]) ).
cnf(c_1132,negated_conjecture,
~ s__links(A,A,s__Arc13_1),
inference(clausify,[status(thm)],[prove_from_ALL_neg]) ).
cnf(c_19972,plain,
( s__links(sK0(s__Arc13_1),sK0(s__Arc13_1),s__Arc13_1)
| ~ s__instance(s__Arc13_1,s__GraphArc) ),
inference(resolve,[status(thm)],[c_1087,c_1131]) ).
cnf(c_1388,negated_conjecture,
~ s__instance(s__Arc13_1,s__GraphArc),
inference(resolve,[status(thm)],[c_1132,c_19972]) ).
cnf(c_16630,plain,
s__instance(s__GraphArc,s__SetOrClass),
inference(resolve,[status(thm)],[c_1081,c_997]) ).
cnf(c_19973,plain,
( s__instance(A,s__GraphArc)
| ~ s__instance(A,s__GraphLoop)
| ~ s__instance(s__GraphLoop,s__SetOrClass)
| ~ s__instance(s__GraphArc,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1085,c_999]) ).
cnf(c_16699,plain,
( s__instance(A,s__GraphArc)
| ~ s__instance(A,s__GraphLoop)
| ~ s__instance(s__GraphLoop,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_16630,c_19973]) ).
cnf(c_16700,plain,
s__instance(s__GraphLoop,s__SetOrClass),
inference(resolve,[status(thm)],[c_1085,c_997]) ).
cnf(c_16702,plain,
( s__instance(A,s__GraphArc)
| ~ s__instance(A,s__GraphLoop) ),
inference(resolve,[status(thm)],[c_16700,c_16699]) ).
cnf(c_19974,plain,
s__instance(s__Arc13_1,s__GraphArc),
inference(resolve,[status(thm)],[c_16702,c_1131]) ).
cnf(c_19971,plain,
$false,
inference(resolve,[status(thm)],[c_1388,c_19974]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR086+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 00:52:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3026098 was started by sandbox on n001,
% 0.10/0.37 % Sun Sep 27 00:52:16 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.42 WARNING: token truncated at 4095 chars (line 64008)
% 0.10/0.42 WARNING: token truncated at 4095 chars (line 64302)
% 0.10/0.42 WARNING: token truncated at 4095 chars (line 64389)
% 0.10/0.42 WARNING: token truncated at 4095 chars (line 65430)
% 0.10/0.43 WARNING: token truncated at 4095 chars (line 65625)
% 0.10/0.43 WARNING: token truncated at 4095 chars (line 65856)
% 76.66/12.08
% 76.66/12.08 % SInE (scan): 583 to sos (tol 1.5x), 67 to usable (tol 2.0x), 144452 zapped, of 145102 axioms (depth 3).
% 76.66/12.08
% 76.66/12.08 % From the command line: assign(max_seconds, 300).
% 76.66/12.08
% 76.66/12.08 % given #500 (T,wt=8): 1673 s__instance(s__Artery,s__SetOrClass). [resolve(997,a,749,a)].
% 76.66/12.08
% 76.66/12.08 % given #1000 (F,wt=8): 15995 -s__properPart(s__ArabianSea,s__ArabianSea). [resolve(15927,a,464,a)].
% 76.66/12.08
% 76.66/12.08 % given #1500 (T,wt=8): 17345 s__instance(s__Ankle,s__Abstract). [resolve(2652,a,1624,a)].
% 76.66/12.08
% 76.66/12.08 % given #2000 (F,wt=11): 19625 -s__reflexiveOn(s__larger__m,s__RoadJunction) | -s__instance(s__SouthernOcean,s__RoadJunction). [resolve(9443,b,1679,a)].
% 76.66/12.08
% 76.66/12.08 % given #2500 (T,wt=11): 7116 -s__subclass(s__Transitway,s__TransitwayJunction) | s__TransitwayJunction = s__Transitway. [resolve(1013,c,699,a),unit_del(a,1672),unit_del(b,1623)].
% 76.66/12.08
% 76.66/12.08 % SZS status Theorem for theBenchmark
% 76.66/12.08
% 76.66/12.08 % Proof 1 at 8.72 (+ 2.02) seconds.
% 76.66/12.08 % Length of proof is 17.
% 76.66/12.08 % Level of proof is 5.
% 76.66/12.08 % Maximum clause weight is 120.000.
% 76.66/12.08 % Given clauses 2775.
% 76.66/12.08
% 76.66/12.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------