%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 12:13:24 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 17 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,axiom,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f178,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f271,axiom,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f350,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f416,axiom,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f427,axiom,
! [ARG1,ARG2] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1334,plain,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
| ~ tptptypes_7_819(ARG1,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f139]) ).
fof(f1335,plain,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1334]) ).
fof(f1393,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f178]) ).
fof(f1394,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(cnf_transformation,[status(thm)],[f1393]) ).
fof(f1528,plain,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
| ~ tptptypes_8_823(ARG1,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f271]) ).
fof(f1529,plain,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1528]) ).
fof(f1643,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f1739,plain,
! [ARG1,ARG2] :
( tptptypes_5_802(ARG1,ARG2)
| ~ tptptypes_6_818(ARG1,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f416]) ).
fof(f1740,plain,
! [X0,X1] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1739]) ).
fof(f1755,plain,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
| ~ tptptypes_9_824(ARG1,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f427]) ).
fof(f1756,plain,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1755]) ).
fof(f3181,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f1123]) ).
fof(f3182,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f3181]) ).
fof(f3183,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f3182]) ).
fof(f3204,plain,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3399,plain,
( mtvisible(c_tptp_member2668_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[f1643,f3183]) ).
fof(f3400,plain,
mtvisible(c_tptp_member2668_mt),
inference(forward_subsumption_resolution,[status(thm)],[f3399,f3205]) ).
fof(f3401,plain,
tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(backward_subsumption_resolution,[status(thm)],[f1394,f3400]) ).
fof(f3633,plain,
tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[f1756,f3401]) ).
fof(f3648,plain,
tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[f3633,f1529]) ).
fof(f3649,plain,
tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[f3648,f1335]) ).
fof(f3650,plain,
tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[f3649,f1740]) ).
fof(f3651,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3650,f3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:47:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.082487 seconds
% 0.13/0.45 % CPU time: 0.153450 seconds
% 0.13/0.45 % Total memory used: 26.926 MB
% 0.13/0.45 % Net memory used: 26.883 MB
%------------------------------------------------------------------------------