%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR096+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 : n013.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 1.41s 0.68s
% Output : CNFRefutation 1.41s
% 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_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(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,conjecture,
s__attribute(s__Object26_1,s__HostileToEarthLife),
file('theBenchmark.p',prove_from_SUMO) ).
fof(prove_from_SUMO_neg,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).
cnf(c_109,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_110,plain,
( s__instance(B,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_111,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_178,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_5820,axiom,
s__subclass(s__AstronomicalBody,s__Object),
file('theBenchmark.p',kb_SUMO_5820) ).
cnf(c_232,plain,
s__subclass(s__AstronomicalBody,s__Object),
inference(clausify,[status(thm)],[kb_SUMO_5820]) ).
cnf(c_331,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_510,axiom,
s__subclass(s__Object,s__Physical),
file('theBenchmark.p',kb_SUMO_510) ).
cnf(c_332,plain,
s__subclass(s__Object,s__Physical),
inference(clausify,[status(thm)],[kb_SUMO_510]) ).
fof(local_2,axiom,
s__subclass(s__Planet26_1,s__AstronomicalBody),
file('theBenchmark.p',local_2) ).
cnf(c_367,plain,
s__subclass(s__Planet26_1,s__AstronomicalBody),
inference(clausify,[status(thm)],[local_2]) ).
cnf(c_368,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_369,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_370,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_371,plain,
~ s__attribute(s__Object26_1,s__Solid),
inference(clausify,[status(thm)],[local_7]) ).
cnf(c_372,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).
cnf(c_385,plain,
s__instance(s__Object,s__SetOrClass),
inference(resolve,[status(thm)],[c_332,c_109]) ).
cnf(c_1917,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_370,c_331]) ).
cnf(c_404,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_371,c_1917]) ).
cnf(c_1048,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_367,c_178]) ).
cnf(c_1051,plain,
s__instance(s__AstronomicalBody,s__SetOrClass),
inference(resolve,[status(thm)],[c_367,c_110]) ).
cnf(c_1052,plain,
s__instance(s__Planet26_1,s__SetOrClass),
inference(resolve,[status(thm)],[c_367,c_109]) ).
cnf(c_1918,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_1051,c_1048]) ).
cnf(c_1057,plain,
( s__subclass(s__Planet26_1,A)
| ~ s__subclass(s__AstronomicalBody,A)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1052,c_1918]) ).
cnf(c_1919,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_368,c_370]) ).
cnf(c_1082,negated_conjecture,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_372,c_1919]) ).
cnf(c_1920,plain,
( s__subclass(s__Planet26_1,s__Object)
| ~ s__instance(s__Object,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1057,c_232]) ).
cnf(c_1716,plain,
s__subclass(s__Planet26_1,s__Object),
inference(resolve,[status(thm)],[c_385,c_1920]) ).
cnf(c_1921,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_1716,c_111]) ).
cnf(c_1922,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(s__Planet26_1,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_385,c_1921]) ).
cnf(c_1730,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1) ),
inference(resolve,[status(thm)],[c_1052,c_1922]) ).
cnf(c_1821,plain,
s__instance(s__Object26_1,s__Object),
inference(resolve,[status(thm)],[c_1730,c_370]) ).
cnf(c_1824,negated_conjecture,
s__attribute(s__Object26_1,s__Earthlike),
inference(resolve,[status(thm)],[c_1821,c_1082]) ).
cnf(c_1825,plain,
s__attribute(s__Object26_1,s__Gaseous),
inference(resolve,[status(thm)],[c_1821,c_404]) ).
cnf(c_1923,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_1825,c_369]) ).
cnf(c_1924,plain,
( ~ s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Planet26_1) ),
inference(resolve,[status(thm)],[c_1821,c_1923]) ).
cnf(c_1925,plain,
~ s__attribute(s__Object26_1,s__Earthlike),
inference(resolve,[status(thm)],[c_370,c_1924]) ).
cnf(c_1916,plain,
$false,
inference(resolve,[status(thm)],[c_1824,c_1925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR096+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 00:52:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.35 % Process 3902037 was started by sandbox2 on n013,
% 0.07/0.35 % Sun Sep 27 00:52:06 2026
% 0.07/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.41/0.68
% 1.41/0.68 % SInE (scan): 192 to sos (tol 1.5x), 37 to usable (tol 2.0x), 14565 zapped, of 14794 axioms (depth 3).
% 1.41/0.68
% 1.41/0.68 % From the command line: assign(max_seconds, 300).
% 1.41/0.68
% 1.41/0.68 % SZS status Theorem for theBenchmark
% 1.41/0.68
% 1.41/0.68 % Proof 1 at 0.15 (+ 0.05) seconds.
% 1.41/0.68 % Length of proof is 33.
% 1.41/0.68 % Level of proof is 8.
% 1.41/0.68 % Maximum clause weight is 117.000.
% 1.41/0.68 % Given clauses 288.
% 1.41/0.68
% 1.41/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------