%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 07:07:07 AM UTC 2026
% Result : Theorem 0.23s 0.47s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 8 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_596,axiom,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) ),
file('theBenchmark.p',ax2_596) ).
fof(ax2_1876,axiom,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) ),
file('theBenchmark.p',ax2_1876) ).
fof(ax2_2254,axiom,
! [ARG1,ARG2] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) ),
file('theBenchmark.p',ax2_2254) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(ax2_2664,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('theBenchmark.p',ax2_2664) ).
fof(ax2_2799,axiom,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) ),
file('theBenchmark.p',ax2_2799) ).
fof(query170,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('theBenchmark.p',query170) ).
fof(query170_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(assume_negation,[status(cth)],[query170]) ).
cnf(c_94,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(clausify,[status(thm)],[ax2_2664]) ).
cnf(c_95,plain,
( tptptypes_7_819(A,B)
| ~ tptptypes_8_823(A,B) ),
inference(clausify,[status(thm)],[ax2_2799]) ).
fof(ax2_254,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('theBenchmark.p',ax2_254) ).
cnf(c_125,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(clausify,[status(thm)],[ax2_254]) ).
cnf(c_127,plain,
( tptptypes_6_818(A,B)
| ~ tptptypes_7_819(A,B) ),
inference(clausify,[status(thm)],[ax2_596]) ).
cnf(c_129,plain,
( tptptypes_5_802(A,B)
| ~ tptptypes_6_818(A,B) ),
inference(clausify,[status(thm)],[ax2_1876]) ).
cnf(c_131,plain,
( tptptypes_8_823(A,B)
| ~ tptptypes_9_824(A,B) ),
inference(clausify,[status(thm)],[ax2_2254]) ).
cnf(c_165,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_167,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query170_neg]) ).
cnf(c_168,negated_conjecture,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(clausify,[status(thm)],[query170_neg]) ).
cnf(c_178,plain,
~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_129,c_168]) ).
cnf(c_179,plain,
~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_178,c_127]) ).
cnf(c_187,plain,
( mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_165,c_125]) ).
cnf(c_181,negated_conjecture,
mtvisible(c_tptp_member2668_mt),
inference(resolve,[status(thm)],[c_167,c_187]) ).
cnf(c_182,plain,
tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_181,c_94]) ).
cnf(c_185,plain,
~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_179,c_95]) ).
cnf(c_188,plain,
~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_185,c_131]) ).
cnf(c_186,plain,
$false,
inference(resolve,[status(thm)],[c_182,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:36:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 2570294 was started by sandbox2 on n019,
% 0.10/0.38 % Sun Sep 27 00:36:34 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.23/0.47
% 0.23/0.47 % SInE (scan): 79 to sos (tol 1.5x), 17 to usable (tol 2.0x), 7909 zapped, of 8005 axioms (depth 3).
% 0.23/0.47
% 0.23/0.47 % From the command line: assign(max_seconds, 300).
% 0.23/0.47
% 0.23/0.47 % SZS status Theorem for theBenchmark
% 0.23/0.47
% 0.23/0.47 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.23/0.47 % Length of proof is 22.
% 0.23/0.47 % Level of proof is 5.
% 0.23/0.47 % Maximum clause weight is 111.000.
% 0.23/0.47 % Given clauses 32.
% 0.23/0.47
% 0.23/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------