%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR096+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 : n020.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 07:07:22 AM UTC 2026
% Result : Theorem 0.69s 0.94s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 22 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 115 ( 50 ~; 47 |; 7 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(local_4,axiom,
! [V_P] :
( s__instance(V_P,s__Object)
=> ( s__instance(V_P,s__Planet26_1)
=> ( s__attribute(V_P,s__HostileToEarthLife)
| s__attribute(V_P,s__Earthlike) ) ) ),
file('theBenchmark.p',local_4) ).
fof(local_5,axiom,
! [V_X] :
( s__instance(V_X,s__Object)
=> ( ( s__attribute(V_X,s__Gaseous)
& s__instance(V_X,s__Planet26_1) )
=> ~ s__attribute(V_X,s__Earthlike) ) ),
file('theBenchmark.p',local_5) ).
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_1539,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_1539) ).
fof(local_3,axiom,
! [V_P] :
( s__instance(V_P,s__Object)
=> ( s__instance(V_P,s__Planet26_1)
=> ( s__attribute(V_P,s__Gaseous)
| s__attribute(V_P,s__Solid) ) ) ),
file('theBenchmark.p',local_3) ).
fof(prove_from_SUMO_MILO,conjecture,
s__attribute(s__Object26_1,s__HostileToEarthLife),
file('theBenchmark.p',prove_from_SUMO_MILO) ).
fof(prove_from_SUMO_MILO_neg,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).
cnf(c_77,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_78,plain,
( s__instance(B,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_79,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_113,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_1539]) ).
fof(kb_SUMO_7014,axiom,
s__subclass(s__AstronomicalBody,s__Object),
file('theBenchmark.p',kb_SUMO_7014) ).
cnf(c_133,plain,
s__subclass(s__AstronomicalBody,s__Object),
inference(clausify,[status(thm)],[kb_SUMO_7014]) ).
cnf(c_263,plain,
( s__attribute(A,s__Gaseous)
| s__attribute(A,s__Solid)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(A,s__Object) ),
inference(clausify,[status(thm)],[local_3]) ).
fof(kb_SUMO_614,axiom,
s__subclass(s__Object,s__Physical),
file('theBenchmark.p',kb_SUMO_614) ).
cnf(c_264,plain,
s__subclass(s__Object,s__Physical),
inference(clausify,[status(thm)],[kb_SUMO_614]) ).
fof(local_2,axiom,
s__subclass(s__Planet26_1,s__AstronomicalBody),
file('theBenchmark.p',local_2) ).
cnf(c_294,plain,
s__subclass(s__Planet26_1,s__AstronomicalBody),
inference(clausify,[status(thm)],[local_2]) ).
cnf(c_295,plain,
( s__attribute(A,s__HostileToEarthLife)
| s__attribute(A,s__Earthlike)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(A,s__Object) ),
inference(clausify,[status(thm)],[local_4]) ).
cnf(c_296,plain,
( ~ s__attribute(A,s__Earthlike)
| ~ s__attribute(A,s__Gaseous)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(A,s__Object) ),
inference(clausify,[status(thm)],[local_5]) ).
fof(local_6,axiom,
s__instance(s__Object26_1,s__Planet26_1),
file('theBenchmark.p',local_6) ).
cnf(c_297,plain,
s__instance(s__Object26_1,s__Planet26_1),
inference(clausify,[status(thm)],[local_6]) ).
fof(local_7,axiom,
~ s__attribute(s__Object26_1,s__Solid),
file('theBenchmark.p',local_7) ).
cnf(c_298,plain,
~ s__attribute(s__Object26_1,s__Solid),
inference(clausify,[status(thm)],[local_7]) ).
cnf(c_299,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(clausify,[status(thm)],[prove_from_SUMO_MILO_neg]) ).
cnf(c_313,plain,
s__instance(s__Object,s__SetOrClass),
inference(resolve,[status(thm)],[c_264,c_77]) ).
cnf(c_2214,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| s__attribute(s__Object26_1,s__Solid)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_297,c_263]) ).
cnf(c_320,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_298,c_2214]) ).
cnf(c_1207,plain,
( s__subclass(s__Planet26_1,A)
| ~ s__subclass(s__AstronomicalBody,A)
| ~ s__instance(s__Planet26_1,s__SetOrClass)
| ~ s__instance(s__AstronomicalBody,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_294,c_113]) ).
cnf(c_1210,plain,
s__instance(s__AstronomicalBody,s__SetOrClass),
inference(resolve,[status(thm)],[c_294,c_78]) ).
cnf(c_1211,plain,
s__instance(s__Planet26_1,s__SetOrClass),
inference(resolve,[status(thm)],[c_294,c_77]) ).
cnf(c_2215,plain,
( s__subclass(s__Planet26_1,A)
| ~ s__subclass(s__AstronomicalBody,A)
| ~ s__instance(s__Planet26_1,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1210,c_1207]) ).
cnf(c_1216,plain,
( s__subclass(s__Planet26_1,A)
| ~ s__subclass(s__AstronomicalBody,A)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1211,c_2215]) ).
cnf(c_2216,plain,
( s__attribute(s__Object26_1,s__HostileToEarthLife)
| s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_295,c_297]) ).
cnf(c_1264,negated_conjecture,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_299,c_2216]) ).
cnf(c_2217,plain,
( s__subclass(s__Planet26_1,s__Object)
| ~ s__instance(s__Object,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1216,c_133]) ).
cnf(c_2071,plain,
s__subclass(s__Planet26_1,s__Object),
inference(resolve,[status(thm)],[c_313,c_2217]) ).
cnf(c_2218,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(s__Planet26_1,s__SetOrClass)
| ~ s__instance(s__Object,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_2071,c_79]) ).
cnf(c_2219,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(s__Planet26_1,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_313,c_2218]) ).
cnf(c_2085,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1) ),
inference(resolve,[status(thm)],[c_1211,c_2219]) ).
cnf(c_2169,plain,
s__instance(s__Object26_1,s__Object),
inference(resolve,[status(thm)],[c_2085,c_297]) ).
cnf(c_2170,negated_conjecture,
s__attribute(s__Object26_1,s__Earthlike),
inference(resolve,[status(thm)],[c_2169,c_1264]) ).
cnf(c_2171,plain,
s__attribute(s__Object26_1,s__Gaseous),
inference(resolve,[status(thm)],[c_2169,c_320]) ).
cnf(c_2220,plain,
( ~ s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Planet26_1)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_2171,c_296]) ).
cnf(c_2221,plain,
( ~ s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Planet26_1) ),
inference(resolve,[status(thm)],[c_2169,c_2220]) ).
cnf(c_2222,plain,
~ s__attribute(s__Object26_1,s__Earthlike),
inference(resolve,[status(thm)],[c_297,c_2221]) ).
cnf(c_2213,plain,
$false,
inference(resolve,[status(thm)],[c_2170,c_2222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR096+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 27 00:53:33 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2902552 was started by sandbox on n020,
% 0.08/0.35 % Sun Sep 27 00:53:33 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.69/0.94
% 0.69/0.94 % SInE (scan): 163 to sos (tol 1.5x), 27 to usable (tol 2.0x), 37798 zapped, of 37988 axioms (depth 3).
% 0.69/0.94
% 0.69/0.94 % From the command line: assign(max_seconds, 300).
% 0.69/0.94
% 0.69/0.94 % SZS status Theorem for theBenchmark
% 0.69/0.94
% 0.69/0.94 % Proof 1 at 0.23 (+ 0.10) seconds.
% 0.69/0.94 % Length of proof is 33.
% 0.69/0.94 % Level of proof is 8.
% 0.69/0.94 % Maximum clause weight is 112.000.
% 0.69/0.94 % Given clauses 332.
% 0.69/0.94
% 0.69/0.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------