%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 07:07:06 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 9 |; 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 : 22 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just8,axiom,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) ),
file('theBenchmark.p',just8) ).
fof(just10,axiom,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) ),
file('theBenchmark.p',just10) ).
fof(just12,axiom,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) ),
file('theBenchmark.p',just12) ).
fof(just14,axiom,
! [ARG1,ARG2] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) ),
file('theBenchmark.p',just14) ).
fof(just19,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('theBenchmark.p',just19) ).
fof(just57,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just57) ).
fof(query70,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('theBenchmark.p',query70) ).
fof(query70_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)],[query70]) ).
cnf(c_69,plain,
( tptptypes_6_818(A,B)
| ~ tptptypes_7_819(A,B) ),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_72,plain,
( tptptypes_5_802(A,B)
| ~ tptptypes_6_818(A,B) ),
inference(clausify,[status(thm)],[just8]) ).
cnf(c_74,plain,
( ~ tptptypes_7_819(A,B)
| tptptypes_5_802(A,B) ),
inference(resolve,[status(thm)],[c_72,c_69]) ).
cnf(c_76,negated_conjecture,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(clausify,[status(thm)],[query70_neg]) ).
cnf(c_77,plain,
( tptptypes_7_819(A,B)
| ~ tptptypes_8_823(A,B) ),
inference(clausify,[status(thm)],[just12]) ).
cnf(c_82,negated_conjecture,
~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_76,c_74]) ).
cnf(c_85,plain,
( tptptypes_8_823(A,B)
| ~ tptptypes_9_824(A,B) ),
inference(clausify,[status(thm)],[just14]) ).
cnf(c_88,negated_conjecture,
~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_77,c_82]) ).
cnf(c_91,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)],[just19]) ).
cnf(c_94,negated_conjecture,
~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolve,[status(thm)],[c_85,c_88]) ).
cnf(c_119,negated_conjecture,
~ mtvisible(c_tptp_member2668_mt),
inference(resolve,[status(thm)],[c_91,c_94]) ).
fof(just16,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('theBenchmark.p',just16) ).
cnf(c_129,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(clausify,[status(thm)],[just16]) ).
cnf(c_138,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just57]) ).
cnf(c_142,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query70_neg]) ).
cnf(c_158,plain,
( mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_138,c_129]) ).
cnf(c_159,negated_conjecture,
~ mtvisible(c_tptp_spindlecollectormt),
inference(resolve,[status(thm)],[c_158,c_119]) ).
cnf(c_157,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_142,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 00:40:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2069629 was started by sandbox on n016,
% 0.09/0.37 % Sun Sep 27 00:40:18 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 22.
% 0.09/0.39 % Level of proof is 7.
% 0.09/0.39 % Maximum clause weight is 7.000.
% 0.09/0.39 % Given clauses 22.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------