%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR096+3 : 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 : n001.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 6.51s 2.35s
% Output : CNFRefutation 6.51s
% 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_26635,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_26635) ).
fof(kb_SUMO_26636,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_26636) ).
fof(kb_SUMO_28461,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_28461) ).
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_ALL,conjecture,
s__attribute(s__Object26_1,s__HostileToEarthLife),
file('theBenchmark.p',prove_from_ALL) ).
fof(prove_from_ALL_neg,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(assume_negation,[status(cth)],[prove_from_ALL]) ).
cnf(c_226,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26635]) ).
cnf(c_227,plain,
( s__instance(B,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26635]) ).
cnf(c_228,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_26636]) ).
cnf(c_308,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_28461]) ).
fof(kb_SUMO_34939,axiom,
s__subclass(s__AstronomicalBody,s__Object),
file('theBenchmark.p',kb_SUMO_34939) ).
cnf(c_352,plain,
s__subclass(s__AstronomicalBody,s__Object),
inference(clausify,[status(thm)],[kb_SUMO_34939]) ).
cnf(c_562,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_27379,axiom,
s__subclass(s__Object,s__Physical),
file('theBenchmark.p',kb_SUMO_27379) ).
cnf(c_567,plain,
s__subclass(s__Object,s__Physical),
inference(clausify,[status(thm)],[kb_SUMO_27379]) ).
fof(local_2,axiom,
s__subclass(s__Planet26_1,s__AstronomicalBody),
file('theBenchmark.p',local_2) ).
cnf(c_624,plain,
s__subclass(s__Planet26_1,s__AstronomicalBody),
inference(clausify,[status(thm)],[local_2]) ).
cnf(c_625,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_626,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_627,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_628,plain,
~ s__attribute(s__Object26_1,s__Solid),
inference(clausify,[status(thm)],[local_7]) ).
cnf(c_629,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(clausify,[status(thm)],[prove_from_ALL_neg]) ).
cnf(c_1390,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_627,c_562]) ).
cnf(c_641,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_628,c_1390]) ).
cnf(c_1391,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_625,c_627]) ).
cnf(c_644,negated_conjecture,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolve,[status(thm)],[c_629,c_1391]) ).
cnf(c_655,plain,
s__instance(s__Object,s__SetOrClass),
inference(resolve,[status(thm)],[c_567,c_226]) ).
cnf(c_1123,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_624,c_308]) ).
cnf(c_1126,plain,
s__instance(s__AstronomicalBody,s__SetOrClass),
inference(resolve,[status(thm)],[c_624,c_227]) ).
cnf(c_1127,plain,
s__instance(s__Planet26_1,s__SetOrClass),
inference(resolve,[status(thm)],[c_624,c_226]) ).
cnf(c_1392,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_1126,c_1123]) ).
cnf(c_1132,plain,
( s__subclass(s__Planet26_1,A)
| ~ s__subclass(s__AstronomicalBody,A)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1127,c_1392]) ).
cnf(c_1393,plain,
( s__subclass(s__Planet26_1,s__Object)
| ~ s__instance(s__Object,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1132,c_352]) ).
cnf(c_1353,plain,
s__subclass(s__Planet26_1,s__Object),
inference(resolve,[status(thm)],[c_655,c_1393]) ).
cnf(c_1394,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_1353,c_228]) ).
cnf(c_1395,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1)
| ~ s__instance(s__Planet26_1,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_655,c_1394]) ).
cnf(c_1363,plain,
( s__instance(A,s__Object)
| ~ s__instance(A,s__Planet26_1) ),
inference(resolve,[status(thm)],[c_1127,c_1395]) ).
cnf(c_1375,plain,
s__instance(s__Object26_1,s__Object),
inference(resolve,[status(thm)],[c_1363,c_627]) ).
cnf(c_1376,negated_conjecture,
s__attribute(s__Object26_1,s__Earthlike),
inference(resolve,[status(thm)],[c_1375,c_644]) ).
cnf(c_1377,plain,
s__attribute(s__Object26_1,s__Gaseous),
inference(resolve,[status(thm)],[c_1375,c_641]) ).
cnf(c_1396,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_1377,c_626]) ).
cnf(c_1397,plain,
( ~ s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Planet26_1) ),
inference(resolve,[status(thm)],[c_1375,c_1396]) ).
cnf(c_1398,plain,
~ s__attribute(s__Object26_1,s__Earthlike),
inference(resolve,[status(thm)],[c_627,c_1397]) ).
cnf(c_1389,plain,
$false,
inference(resolve,[status(thm)],[c_1376,c_1398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR096+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 00:58:13 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.39 % Process 3034563 was started by sandbox on n001,
% 0.12/0.39 % Sun Sep 27 00:58:13 2026
% 0.12/0.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.23/0.53 WARNING: token truncated at 4095 chars (line 64008)
% 0.23/0.53 WARNING: token truncated at 4095 chars (line 64302)
% 0.23/0.53 WARNING: token truncated at 4095 chars (line 64389)
% 0.23/0.53 WARNING: token truncated at 4095 chars (line 65430)
% 0.23/0.54 WARNING: token truncated at 4095 chars (line 65625)
% 0.23/0.54 WARNING: token truncated at 4095 chars (line 65856)
% 6.51/2.35
% 6.51/2.35 % SInE (scan): 308 to sos (tol 1.5x), 46 to usable (tol 2.0x), 144754 zapped, of 145108 axioms (depth 3).
% 6.51/2.35
% 6.51/2.35 % From the command line: assign(max_seconds, 300).
% 6.51/2.35
% 6.51/2.35 % given #500 (T,wt=6): 1359 s__ListLengthFn(s__ListFn_2(s__Planet26_1,s__Object)) = do_2. [resolve(1353,a,590,c),unit_del(a,655),unit_del(b,1127)].
% 6.51/2.35
% 6.51/2.35 % SZS status Theorem for theBenchmark
% 6.51/2.35
% 6.51/2.35 % Proof 1 at 0.55 (+ 0.23) seconds.
% 6.51/2.35 % Length of proof is 33.
% 6.51/2.35 % Level of proof is 8.
% 6.51/2.35 % Maximum clause weight is 112.000.
% 6.51/2.35 % Given clauses 506.
% 6.51/2.35
% 6.51/2.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------