%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR118+4 : 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 07:07:58 AM UTC 2026
% Result : Theorem 0.23s 0.55s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 37 ~; 32 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 27 ( 1 sgn 8 !; 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(kb_SUMO_1294,axiom,
! [V__INST1,V__INST2,V__INST3] :
( ( s__instance(V__INST1,s__SetOrClass)
& s__instance(V__INST2,s__SetOrClass)
& s__instance(V__INST3,s__SetOrClass) )
=> ( ( s__subclass(V__INST2,V__INST3)
& s__subclass(V__INST1,V__INST2) )
=> s__subclass(V__INST1,V__INST3) ) ),
file('theBenchmark.p',kb_SUMO_1294) ).
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]) ).
fof(kb_SUMO_6046,axiom,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
file('theBenchmark.p',kb_SUMO_6046) ).
cnf(c_72,plain,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
inference(clausify,[status(thm)],[kb_SUMO_6046]) ).
fof(kb_SUMO_6083,axiom,
s__subclass(s__Hominid,s__Primate),
file('theBenchmark.p',kb_SUMO_6083) ).
cnf(c_78,plain,
s__subclass(s__Hominid,s__Primate),
inference(clausify,[status(thm)],[kb_SUMO_6083]) ).
fof(kb_SUMO_6086,axiom,
s__subclass(s__Human,s__Hominid),
file('theBenchmark.p',kb_SUMO_6086) ).
cnf(c_79,plain,
s__subclass(s__Human,s__Hominid),
inference(clausify,[status(thm)],[kb_SUMO_6086]) ).
cnf(c_83,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_85,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]) ).
cnf(c_88,plain,
( s__subclass(C,A)
| ~ s__subclass(B,A)
| ~ s__subclass(C,B)
| ~ s__instance(C,s__SetOrClass)
| ~ s__instance(B,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(clausify,[status(thm)],[kb_SUMO_1294]) ).
fof(kb_SUMO_6073,axiom,
s__subclass(s__Primate,s__Mammal),
file('theBenchmark.p',kb_SUMO_6073) ).
cnf(c_92,plain,
s__subclass(s__Primate,s__Mammal),
inference(clausify,[status(thm)],[kb_SUMO_6073]) ).
fof(abe_human,axiom,
s__instance(s__AbrahamLincoln,s__Human),
file('theBenchmark.p',abe_human) ).
cnf(c_94,plain,
s__instance(s__AbrahamLincoln,s__Human),
inference(clausify,[status(thm)],[abe_human]) ).
cnf(c_95,negated_conjecture,
~ s__instance(s__AbrahamLincoln,s__Mammal),
inference(clausify,[status(thm)],[abe_mammal_neg]) ).
cnf(c_98,plain,
s__instance(s__Human,s__SetOrClass),
inference(resolve,[status(thm)],[c_83,c_79]) ).
cnf(c_99,plain,
s__instance(s__Hominid,s__SetOrClass),
inference(resolve,[status(thm)],[c_83,c_78]) ).
cnf(c_103,plain,
s__instance(s__Mammal,s__SetOrClass),
inference(resolve,[status(thm)],[c_83,c_72]) ).
cnf(c_112,plain,
s__instance(s__Primate,s__SetOrClass),
inference(resolve,[status(thm)],[c_92,c_83]) ).
cnf(c_403,plain,
( s__instance(B,s__Mammal)
| ~ s__instance(B,A)
| ~ s__subclass(A,s__Mammal)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_85,c_103]) ).
cnf(c_404,plain,
( s__instance(A,s__Mammal)
| ~ s__instance(A,s__Primate)
| ~ s__subclass(s__Primate,s__Mammal) ),
inference(resolve,[status(thm)],[c_403,c_112]) ).
cnf(c_405,plain,
( s__instance(A,s__Mammal)
| ~ s__instance(A,s__Primate) ),
inference(resolve,[status(thm)],[c_404,c_92]) ).
cnf(c_279,negated_conjecture,
~ s__instance(s__AbrahamLincoln,s__Primate),
inference(resolve,[status(thm)],[c_405,c_95]) ).
cnf(c_406,plain,
( s__instance(B,s__Primate)
| ~ s__instance(B,A)
| ~ s__subclass(A,s__Primate)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_85,c_112]) ).
cnf(c_407,plain,
( s__instance(A,s__Primate)
| ~ s__instance(A,s__Human)
| ~ s__subclass(s__Human,s__Primate) ),
inference(resolve,[status(thm)],[c_406,c_98]) ).
cnf(c_408,plain,
( s__instance(s__AbrahamLincoln,s__Primate)
| ~ s__subclass(s__Human,s__Primate) ),
inference(resolve,[status(thm)],[c_407,c_94]) ).
cnf(c_310,plain,
~ s__subclass(s__Human,s__Primate),
inference(resolve,[status(thm)],[c_408,c_279]) ).
cnf(c_409,plain,
( s__subclass(B,A)
| ~ s__subclass(s__Hominid,A)
| ~ s__subclass(B,s__Hominid)
| ~ s__instance(B,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_88,c_99]) ).
cnf(c_410,plain,
( s__subclass(s__Human,A)
| ~ s__subclass(s__Hominid,A)
| ~ s__subclass(s__Human,s__Hominid)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_409,c_98]) ).
cnf(c_411,plain,
( s__subclass(s__Human,A)
| ~ s__subclass(s__Hominid,A)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_410,c_79]) ).
cnf(c_412,plain,
( s__subclass(s__Human,s__Primate)
| ~ s__instance(s__Primate,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_411,c_78]) ).
cnf(c_413,plain,
~ s__instance(s__Primate,s__SetOrClass),
inference(resolve,[status(thm)],[c_412,c_310]) ).
cnf(c_402,plain,
$false,
inference(resolve,[status(thm)],[c_112,c_413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR118+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 01:19:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 3045279 was started by sandbox2 on n002,
% 0.11/0.38 % Sun Sep 27 01:19:05 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.23/0.55
% 0.23/0.55 % SInE (scan): 44 to sos (tol 1.5x), 9 to usable (tol 2.0x), 7165 zapped, of 7218 axioms (depth 3).
% 0.23/0.55
% 0.23/0.55 % From the command line: assign(max_seconds, 300).
% 0.23/0.55
% 0.23/0.55 % SZS status Theorem for theBenchmark
% 0.23/0.55
% 0.23/0.55 % Proof 1 at 0.06 (+ 0.02) seconds.
% 0.23/0.55 % Length of proof is 20.
% 0.23/0.55 % Level of proof is 5.
% 0.23/0.55 % Maximum clause weight is 118.000.
% 0.23/0.55 % Given clauses 51.
% 0.23/0.55
% 0.23/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------