%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR118+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 07:07:57 AM UTC 2026
% Result : Theorem 1.00s 0.61s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 11 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 1 sgn 5 !; 0 ?)
% 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(abe_mammal,conjecture,
s__instance(s__AbrahamLincoln,s__Mammal),
file('theBenchmark.p',abe_mammal) ).
fof(abe_mammal_neg,negated_conjecture,
~ s__instance(s__AbrahamLincoln,s__Mammal),
inference(assume_negation,[status(cth)],[abe_mammal]) ).
cnf(c_43,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_45,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_6046,axiom,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
file('theBenchmark.p',kb_SUMO_6046) ).
cnf(c_222,plain,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
inference(clausify,[status(thm)],[kb_SUMO_6046]) ).
fof(kb_SUMOcache_6053,axiom,
s__subclass(s__Human,s__Mammal),
file('theBenchmark.p',kb_SUMOcache_6053) ).
cnf(c_365,plain,
s__subclass(s__Human,s__Mammal),
inference(clausify,[status(thm)],[kb_SUMOcache_6053]) ).
fof(abe_human,axiom,
s__instance(s__AbrahamLincoln,s__Human),
file('theBenchmark.p',abe_human) ).
cnf(c_469,plain,
s__instance(s__AbrahamLincoln,s__Human),
inference(clausify,[status(thm)],[abe_human]) ).
cnf(c_470,negated_conjecture,
~ s__instance(s__AbrahamLincoln,s__Mammal),
inference(clausify,[status(thm)],[abe_mammal_neg]) ).
cnf(c_479,plain,
s__instance(s__Mammal,s__SetOrClass),
inference(resolve,[status(thm)],[c_222,c_43]) ).
cnf(c_492,plain,
s__instance(s__Human,s__SetOrClass),
inference(resolve,[status(thm)],[c_365,c_43]) ).
cnf(c_1166,plain,
( s__instance(s__AbrahamLincoln,A)
| ~ s__subclass(s__Human,A)
| ~ s__instance(s__Human,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_469,c_45]) ).
cnf(c_495,plain,
( s__instance(s__AbrahamLincoln,A)
| ~ s__subclass(s__Human,A)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_492,c_1166]) ).
cnf(c_1167,plain,
( s__instance(s__AbrahamLincoln,s__Mammal)
| ~ s__subclass(s__Human,s__Mammal) ),
inference(resolve,[status(thm)],[c_495,c_479]) ).
cnf(c_1168,plain,
s__instance(s__AbrahamLincoln,s__Mammal),
inference(resolve,[status(thm)],[c_365,c_1167]) ).
cnf(c_1165,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_470,c_1168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR118+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:18:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 3044837 was started by sandbox2 on n002,
% 0.09/0.38 % Sun Sep 27 01:18:53 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.00/0.61
% 1.00/0.61 % SInE (scan): 374 to sos (tol 1.5x), 39 to usable (tol 2.0x), 14375 zapped, of 14788 axioms (depth 3).
% 1.00/0.61
% 1.00/0.61 % From the command line: assign(max_seconds, 300).
% 1.00/0.61
% 1.00/0.61 % SZS status Theorem for theBenchmark
% 1.00/0.61
% 1.00/0.61 % Proof 1 at 0.09 (+ 0.03) seconds.
% 1.00/0.61 % Length of proof is 13.
% 1.00/0.61 % Level of proof is 4.
% 1.00/0.61 % Maximum clause weight is 14.000.
% 1.00/0.61 % Given clauses 351.
% 1.00/0.61
% 1.00/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------