%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR101+3 : 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 : n016.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 07:07:26 AM UTC 2026
% Result : Theorem 3.88s 2.00s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 32 ~; 27 |; 8 &)
% ( 0 <=>; 7 =>; 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 : 27 ( 2 sgn 10 !; 1 ?)
% 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,
! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_1) ),
file('theBenchmark.p',prove_from_ALL) ).
fof(prove_from_ALL_neg,negated_conjecture,
~ ! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_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__Class32_1,s__Animal),
file('theBenchmark.p',local_4) ).
cnf(c_96,plain,
s__subclass(s__Class32_1,s__Animal),
inference(clausify,[status(thm)],[local_4]) ).
fof(local_5,axiom,
s__subclass(s__Class32_2,s__Animal),
file('theBenchmark.p',local_5) ).
cnf(c_97,plain,
s__subclass(s__Class32_2,s__Animal),
inference(clausify,[status(thm)],[local_5]) ).
fof(local_8,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('theBenchmark.p',local_8) ).
cnf(c_100,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(clausify,[status(thm)],[local_8]) ).
fof(local_9,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('theBenchmark.p',local_9) ).
cnf(c_101,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(clausify,[status(thm)],[local_9]) ).
fof(nnf_11,plain,
? [V_X] :
( ~ s__instance(V_X,s__Class32_1)
& s__instance(V_X,s__Class32_2) ),
inference(fof_nnf,[status(thm)],[prove_from_ALL_neg]) ).
fof(sk_prove_from_ALL_neg,plain,
( ~ s__instance(sK0,s__Class32_1)
& s__instance(sK0,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(V_X,sK0)],[nnf_11]) ).
cnf(c_102,negated_conjecture,
s__instance(sK0,s__Class32_2),
inference(split_conjunct,[status(thm)],[sk_prove_from_ALL_neg]) ).
cnf(c_103,negated_conjecture,
~ s__instance(sK0,s__Class32_1),
inference(split_conjunct,[status(thm)],[sk_prove_from_ALL_neg]) ).
cnf(c_105,plain,
s__instance(s__Class32_1,s__SetOrClass),
inference(resolve,[status(thm)],[c_12,c_96]) ).
cnf(c_106,plain,
s__instance(s__Class32_2,s__SetOrClass),
inference(resolve,[status(thm)],[c_12,c_97]) ).
cnf(c_107,plain,
s__instance(s__Class32_3,s__SetOrClass),
inference(resolve,[status(thm)],[c_13,c_100]) ).
cnf(c_119,plain,
( s__instance(B,s__Class32_1)
| ~ s__instance(B,A)
| ~ s__subclass(A,s__Class32_1)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_14,c_105]) ).
cnf(c_120,plain,
( s__instance(A,s__Class32_1)
| ~ s__instance(A,s__Class32_2)
| ~ s__subclass(s__Class32_2,s__Class32_1) ),
inference(resolve,[status(thm)],[c_119,c_106]) ).
cnf(c_121,negated_conjecture,
( s__instance(sK0,s__Class32_1)
| ~ s__subclass(s__Class32_2,s__Class32_1) ),
inference(resolve,[status(thm)],[c_120,c_102]) ).
cnf(c_115,negated_conjecture,
~ s__subclass(s__Class32_2,s__Class32_1),
inference(resolve,[status(thm)],[c_121,c_103]) ).
cnf(c_122,plain,
( s__subclass(B,s__Class32_1)
| ~ s__subclass(A,s__Class32_1)
| ~ s__subclass(B,A)
| ~ s__instance(B,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_32,c_105]) ).
cnf(c_123,plain,
( s__subclass(A,s__Class32_1)
| ~ s__subclass(s__Class32_3,s__Class32_1)
| ~ s__subclass(A,s__Class32_3)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_122,c_107]) ).
cnf(c_124,plain,
( s__subclass(s__Class32_2,s__Class32_1)
| ~ s__subclass(s__Class32_3,s__Class32_1)
| ~ s__subclass(s__Class32_2,s__Class32_3) ),
inference(resolve,[status(thm)],[c_123,c_106]) ).
cnf(c_125,plain,
( s__subclass(s__Class32_2,s__Class32_1)
| ~ s__subclass(s__Class32_3,s__Class32_1) ),
inference(resolve,[status(thm)],[c_124,c_100]) ).
cnf(c_117,plain,
s__subclass(s__Class32_2,s__Class32_1),
inference(resolve,[status(thm)],[c_125,c_101]) ).
cnf(c_118,plain,
$false,
inference(resolve,[status(thm)],[c_117,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR101+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 01:00:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 2087958 was started by sandbox2 on n016,
% 0.11/0.37 % Sun Sep 27 01:00:02 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.47 WARNING: token truncated at 4095 chars (line 64008)
% 0.14/0.47 WARNING: token truncated at 4095 chars (line 64302)
% 0.14/0.47 WARNING: token truncated at 4095 chars (line 64389)
% 0.14/0.47 WARNING: token truncated at 4095 chars (line 65430)
% 0.14/0.47 WARNING: token truncated at 4095 chars (line 65625)
% 0.14/0.47 WARNING: token truncated at 4095 chars (line 65856)
% 3.88/2.00
% 3.88/2.00 % SInE (scan): 78 to sos (tol 1.5x), 8 to usable (tol 2.0x), 145024 zapped, of 145110 axioms (depth 3).
% 3.88/2.00
% 3.88/2.00 % From the command line: assign(max_seconds, 300).
% 3.88/2.00
% 3.88/2.00 % SZS status Theorem for theBenchmark
% 3.88/2.00
% 3.88/2.00 % Proof 1 at 0.26 (+ 0.20) seconds.
% 3.88/2.00 % Length of proof is 20.
% 3.88/2.00 % Level of proof is 4.
% 3.88/2.00 % Maximum clause weight is 3.000.
% 3.88/2.00 % Given clauses 15.
% 3.88/2.00
% 3.88/2.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------