%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR070+2 : 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 : n014.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 11.02s 2.15s
% Output : CNFRefutation 11.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% 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 : 28 ( 11 ~; 8 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 21 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_139,axiom,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) ),
file('theBenchmark.p',ax1_139) ).
fof(ax1_178,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('theBenchmark.p',ax1_178) ).
fof(ax1_271,axiom,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) ),
file('theBenchmark.p',ax1_271) ).
fof(ax1_416,axiom,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) ),
file('theBenchmark.p',ax1_416) ).
fof(ax1_427,axiom,
! [ARG1,ARG2] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) ),
file('theBenchmark.p',ax1_427) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query120,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('theBenchmark.p',query120) ).
fof(query120_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)],[query120]) ).
cnf(c_1310,plain,
( tptptypes_6_818(A,B)
| ~ tptptypes_7_819(A,B) ),
inference(clausify,[status(thm)],[ax1_139]) ).
cnf(c_1336,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)],[ax1_178]) ).
cnf(c_1397,plain,
( tptptypes_7_819(A,B)
| ~ tptptypes_8_823(A,B) ),
inference(clausify,[status(thm)],[ax1_271]) ).
fof(ax1_350,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('theBenchmark.p',ax1_350) ).
cnf(c_1438,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(clausify,[status(thm)],[ax1_350]) ).
cnf(c_1488,plain,
( tptptypes_5_802(A,B)
| ~ tptptypes_6_818(A,B) ),
inference(clausify,[status(thm)],[ax1_416]) ).
cnf(c_1495,plain,
( tptptypes_8_823(A,B)
| ~ tptptypes_9_824(A,B) ),
inference(clausify,[status(thm)],[ax1_427]) ).
cnf(c_1957,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query120_neg]) ).
cnf(c_1963,negated_conjecture,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(clausify,[status(thm)],[query120_neg]) ).
cnf(c_2139,plain,
~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_1488,c_1963]) ).
cnf(c_3143,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_2405,negated_conjecture,
mtvisible(c_tptp_member2668_mt),
inference(resolve,[status(thm)],[c_3143,c_1438]) ).
cnf(c_2406,plain,
tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_2405,c_1336]) ).
cnf(c_3140,plain,
tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_1495,c_2406]) ).
cnf(c_3141,plain,
tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_1397,c_3140]) ).
cnf(c_3144,plain,
tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_1310,c_3141]) ).
cnf(c_3142,plain,
$false,
inference(resolve,[status(thm)],[c_2139,c_3144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n014.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 00:36:02 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.45 % Process 231978 was started by sandbox2 on n014,
% 0.19/0.45 % Sun Sep 27 00:36:02 2026
% 0.19/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.37/0.65
% 0.37/0.65 % From the command line: assign(max_seconds, 300).
% 0.37/0.65
% 0.37/0.65 % SInE: 757 to sos, 374 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 11.02/2.15
% 11.02/2.15 % given #500 (T,wt=7): 2640 collection(c_tptpcol_12_109157). [ur(1946,a,1296,a)].
% 11.02/2.15
% 11.02/2.15 % SZS status Theorem for theBenchmark
% 11.02/2.15
% 11.02/2.15 % Proof 1 at 1.21 (+ 0.16) seconds.
% 11.02/2.15 % Length of proof is 22.
% 11.02/2.15 % Level of proof is 6.
% 11.02/2.15 % Maximum clause weight is 211.000.
% 11.02/2.15 % Given clauses 970.
% 11.02/2.15
% 11.02/2.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------