%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR118+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 : n010.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 2.09s 1.05s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 31 ( 14 ~; 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 : 13 ( 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_30,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_32,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_7240,axiom,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
file('theBenchmark.p',kb_SUMO_7240) ).
cnf(c_516,plain,
s__subclass(s__Mammal,s__WarmBloodedVertebrate),
inference(clausify,[status(thm)],[kb_SUMO_7240]) ).
fof(kb_SUMO_15954,axiom,
s__subclass(s__Human,s__Mammal),
file('theBenchmark.p',kb_SUMO_15954) ).
cnf(c_607,plain,
s__subclass(s__Human,s__Mammal),
inference(clausify,[status(thm)],[kb_SUMO_15954]) ).
fof(abe_human,axiom,
s__instance(s__AbrahamLincoln,s__Human),
file('theBenchmark.p',abe_human) ).
cnf(c_654,plain,
s__instance(s__AbrahamLincoln,s__Human),
inference(clausify,[status(thm)],[abe_human]) ).
cnf(c_655,negated_conjecture,
~ s__instance(s__AbrahamLincoln,s__Mammal),
inference(clausify,[status(thm)],[abe_mammal_neg]) ).
cnf(c_660,plain,
s__instance(s__Mammal,s__SetOrClass),
inference(resolve,[status(thm)],[c_30,c_516]) ).
cnf(c_671,plain,
s__instance(s__Human,s__SetOrClass),
inference(resolve,[status(thm)],[c_30,c_607]) ).
cnf(c_680,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_32,c_660]) ).
cnf(c_681,plain,
( s__instance(A,s__Mammal)
| ~ s__instance(A,s__Human)
| ~ s__instance(s__Human,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_680,c_607]) ).
cnf(c_682,plain,
( s__instance(s__AbrahamLincoln,s__Mammal)
| ~ s__instance(s__Human,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_681,c_654]) ).
cnf(c_683,negated_conjecture,
~ s__instance(s__Human,s__SetOrClass),
inference(resolve,[status(thm)],[c_682,c_655]) ).
cnf(c_679,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_671,c_683]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR118+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 01:16:45 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.40 % Process 448411 was started by sandbox on n010,
% 0.13/0.40 % Sun Sep 27 01:16:45 2026
% 0.13/0.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.09/1.05
% 2.09/1.05 % SInE (scan): 556 to sos (tol 1.5x), 38 to usable (tol 2.0x), 37388 zapped, of 37982 axioms (depth 3).
% 2.09/1.05
% 2.09/1.05 % From the command line: assign(max_seconds, 300).
% 2.09/1.05
% 2.09/1.05 % SZS status Theorem for theBenchmark
% 2.09/1.05
% 2.09/1.05 % Proof 1 at 0.11 (+ 0.06) seconds.
% 2.09/1.05 % Length of proof is 12.
% 2.09/1.05 % Level of proof is 3.
% 2.09/1.05 % Maximum clause weight is 8.000.
% 2.09/1.05 % Given clauses 34.
% 2.09/1.05
% 2.09/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------