%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR100+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 07:07:25 AM UTC 2026
% Result : Theorem 2.64s 1.79s
% Output : CNFRefutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 31 ~; 27 |; 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(prove_from_ALL,conjecture,
s__instance(s__Animal31,s__Class31_1),
file('theBenchmark.p',prove_from_ALL) ).
fof(prove_from_ALL_neg,negated_conjecture,
~ s__instance(s__Animal31,s__Class31_1),
inference(assume_negation,[status(cth)],[prove_from_ALL]) ).
cnf(c_12,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26635]) ).
cnf(c_13,plain,
( s__instance(B,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26635]) ).
cnf(c_14,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_32,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(local_4,axiom,
s__subclass(s__Class31_1,s__Animal),
file('theBenchmark.p',local_4) ).
cnf(c_96,plain,
s__subclass(s__Class31_1,s__Animal),
inference(clausify,[status(thm)],[local_4]) ).
fof(local_7,axiom,
s__subclass(s__Class31_1,s__Class31_2),
file('theBenchmark.p',local_7) ).
cnf(c_99,plain,
s__subclass(s__Class31_1,s__Class31_2),
inference(clausify,[status(thm)],[local_7]) ).
fof(local_8,axiom,
s__subclass(s__Class31_2,s__Class31_3),
file('theBenchmark.p',local_8) ).
cnf(c_100,plain,
s__subclass(s__Class31_2,s__Class31_3),
inference(clausify,[status(thm)],[local_8]) ).
fof(local_9,axiom,
s__subclass(s__Class31_3,s__Class31_1),
file('theBenchmark.p',local_9) ).
cnf(c_101,plain,
s__subclass(s__Class31_3,s__Class31_1),
inference(clausify,[status(thm)],[local_9]) ).
fof(local_10,axiom,
s__instance(s__Animal31,s__Class31_2),
file('theBenchmark.p',local_10) ).
cnf(c_102,plain,
s__instance(s__Animal31,s__Class31_2),
inference(clausify,[status(thm)],[local_10]) ).
cnf(c_103,negated_conjecture,
~ s__instance(s__Animal31,s__Class31_1),
inference(clausify,[status(thm)],[prove_from_ALL_neg]) ).
cnf(c_107,plain,
s__instance(s__Class31_1,s__SetOrClass),
inference(resolve,[status(thm)],[c_12,c_96]) ).
cnf(c_108,plain,
s__instance(s__Class31_2,s__SetOrClass),
inference(resolve,[status(thm)],[c_13,c_99]) ).
cnf(c_109,plain,
s__instance(s__Class31_3,s__SetOrClass),
inference(resolve,[status(thm)],[c_12,c_101]) ).
cnf(c_129,plain,
( s__instance(B,s__Class31_1)
| ~ s__instance(B,A)
| ~ s__subclass(A,s__Class31_1)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_14,c_107]) ).
cnf(c_130,plain,
( s__instance(A,s__Class31_1)
| ~ s__instance(A,s__Class31_2)
| ~ s__subclass(s__Class31_2,s__Class31_1) ),
inference(resolve,[status(thm)],[c_129,c_108]) ).
cnf(c_131,plain,
( s__instance(s__Animal31,s__Class31_1)
| ~ s__subclass(s__Class31_2,s__Class31_1) ),
inference(resolve,[status(thm)],[c_130,c_102]) ).
cnf(c_121,negated_conjecture,
~ s__subclass(s__Class31_2,s__Class31_1),
inference(resolve,[status(thm)],[c_131,c_103]) ).
cnf(c_132,plain,
( s__subclass(B,s__Class31_1)
| ~ s__subclass(A,s__Class31_1)
| ~ s__subclass(B,A)
| ~ s__instance(B,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_32,c_107]) ).
cnf(c_133,plain,
( s__subclass(A,s__Class31_1)
| ~ s__subclass(s__Class31_3,s__Class31_1)
| ~ s__subclass(A,s__Class31_3)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_132,c_109]) ).
cnf(c_134,plain,
( s__subclass(s__Class31_2,s__Class31_1)
| ~ s__subclass(s__Class31_3,s__Class31_1)
| ~ s__subclass(s__Class31_2,s__Class31_3) ),
inference(resolve,[status(thm)],[c_133,c_108]) ).
cnf(c_135,plain,
( s__subclass(s__Class31_2,s__Class31_1)
| ~ s__subclass(s__Class31_2,s__Class31_3) ),
inference(resolve,[status(thm)],[c_134,c_101]) ).
cnf(c_136,plain,
~ s__subclass(s__Class31_2,s__Class31_3),
inference(resolve,[status(thm)],[c_135,c_121]) ).
cnf(c_128,plain,
$false,
inference(resolve,[status(thm)],[c_100,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR100+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 00:59:59 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.36 % Process 3037758 was started by sandbox on n001,
% 0.07/0.36 % Sun Sep 27 00:59:59 2026
% 0.07/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.47 WARNING: token truncated at 4095 chars (line 64008)
% 0.12/0.47 WARNING: token truncated at 4095 chars (line 64302)
% 0.12/0.47 WARNING: token truncated at 4095 chars (line 64389)
% 0.12/0.48 WARNING: token truncated at 4095 chars (line 65430)
% 0.12/0.48 WARNING: token truncated at 4095 chars (line 65625)
% 0.12/0.48 WARNING: token truncated at 4095 chars (line 65856)
% 2.64/1.79
% 2.64/1.79 % SInE (scan): 79 to sos (tol 1.5x), 8 to usable (tol 2.0x), 145024 zapped, of 145111 axioms (depth 3).
% 2.64/1.79
% 2.64/1.79 % From the command line: assign(max_seconds, 300).
% 2.64/1.79
% 2.64/1.79 % SZS status Theorem for theBenchmark
% 2.64/1.79
% 2.64/1.79 % Proof 1 at 0.19 (+ 0.16) seconds.
% 2.64/1.79 % Length of proof is 19.
% 2.64/1.79 % Level of proof is 4.
% 2.64/1.79 % Maximum clause weight is 108.000.
% 2.64/1.79 % Given clauses 24.
% 2.64/1.79
% 2.64/1.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------